Description
Determine the number of positive real, negative real, and imaginary zeros for the function
f(x)= x^4 - x^2 - 6
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.
Explanation & Answer
f(x)= x4 - x2 – 6
= x4 -3 x2 +2 x2 – 6
= x2(x2-3)+2(x2-3)
= (x2-3)(x2+2)
(x2-3)(x2+2)=0
x2 =3 or x2 = -2
x = ±√3 or x = ± i √2
Completion Status:
100%
Review
Review
Anonymous
Great! Studypool always delivers quality work.
Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Most Popular Content
Group Statistics and Independent Samples Test Project
For this assignment you will complete two separate investigations: one that uses an independent and one that uses a depend ...
Group Statistics and Independent Samples Test Project
For this assignment you will complete two separate investigations: one that uses an independent and one that uses a dependent/paired t-tests. T-testsA teacher is interested in knowing whether different students in her class have different levels of statistics knowledge at the beginning of the course and whether they gain knowledge in statistics over the course of her class. She administered a survey to all of her students asking whether they are pursuing a masters degree or Ph.D. (“Degree”) and entered that information along with their scores on a statistics pre-test (“PreTest”). At the end of the course, she administered the same test again and entered their scores (“PostTest”).For this assignment use StatPrePost.savAnswer questions 1-3 for each of the following two scenarios: Scenario 1: Is there a statistically significant difference between masters degree students and Ph.D. students in terms of statistics knowledge at the beginning of the course?Scenario 2: Is there a statistically significant difference between students’ statistics knowledge at the beginning and the end of the course?Report whether an independent samples or dependent/paired samples t-test should be used.Run the appropriate t-test (include Levene's test for homogeneity of variances for the independent t-test). Report the obtained t value, degrees of freedom (df), and significance level (p-value) for this t-test? If the Levene's test was run, report test statistic and significance level (p-value) for this test.What conclusion should the investigator draw on the basis of this test with regard to the null hypothesis if the alpha is set at .05?Submit your answers to #1-3 in a Word document. Use a page break to separate the independent and dependent t-test sections and label each section accordingly. Please upload your file to Blackboard using the Attach File option.
22 Multiple choice questions
1.Use your graphing calculator to evaluate . (2 points)e50π12.Use your calculator to select the best answer below: (2 po ...
22 Multiple choice questions
1.Use your graphing calculator to evaluate . (2 points)e50π12.Use your calculator to select the best answer below: (2 points)1−10does not exist3. (2 points)2a4.Find . (2 points)does not exist305.If and , then find . (2 points)40-416286.Evaluate . (2 points)0does not exist1-17.Evaluate . (2 points)8.Evaluate . (2 points)1does not exist9.If f is a continuous function with odd symmetry and , which of the following statements must be true? (2 points)I.II.There are no vertical asymptotes.III.The lines y = 5 and y = -5 are horizontal asymptotes.I onlyII onlyIII onlyAll statements are true.10.What are the horizontal asymptotes of the function ? (2 points)y = -2 and y = 2y = 2 onlyy = -2 onlyy = 011.Which one or ones of the following statements is/are true? (2 points)I.If the line y = 2 is a horizontal asymptote of y = f(x), then f is not defined at y = 2.II.If f(5) > 0 and f(6) < 0, then there exists a number c between 5 and 6 such that f(c) = 0.III.If f is continuous at 2 and f(2)=8 and f(4)=3, then .All statements are true.I onlyII onlyIII only12.Find (2 points)0-∞∞13.Evaluate . (2 points)0does not exist14.Which of the following are the equations of all horizontal and vertical asymptotes for the graph of ? (2 points)y = 0, x = -4, x = 4y = 1, x = -4, x = 4y = 0, x = -4, x = 0, x = 4y = 1, x = -4, x = 0, x = 415.Evaluate . (2 points)3-51does not exist16.Where is discontinuous? (2 points)x = -2x = 4x = -2 and x = 4f(x) is continuous everywhere17.Which of the following are continuous for all real values of x?(2 points)I.II.III.I onlyII onlyI and II onlyI and III only18.Which of the following must be true for the graph of the function ?(2 points)There is:I.a vertical asymptote at x = 3II.a removable discontinuity at x = 3III.an infinite discontinuity at x = 3I onlyII onlyIII onlyI, II, and III19.What is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x + 2? (2 points)82420.What is the instantaneous slope of y = at x = 3? (2 points)21.The height, s, of a ball thrown straight down with initial speed 64 ft/sec from a cliff 80 feet high is s(t) = -16t2 - 64t + 80, where t is the time elapsed that the ball is in the air. What is the instantaneous velocity of the ball when it hits the ground? (2 points)256 ft/sec-96 ft/sec0 ft/sec112 ft/sec22.The surface area of a right circular cylinder of height 5 feet and radius r feet is given by S(r)=2πrh+2πr2. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 6. (2 points)24π34π64π20π
MATH 153 CCBC Inferences from Data on The Working Poor in the US Questions
There is a population of workers in this country who are employed but who do not earn enough in wages to securely cover th ...
MATH 153 CCBC Inferences from Data on The Working Poor in the US Questions
There is a population of workers in this country who are employed but who do not earn enough in wages to securely cover the cost of their family’s basic needs. Although the numbers vary by state or district, these individuals and their families are similar in that they cross racial, cultural, and local boundaries. They are considered the nation’s “Working Poor.” This common graded assignment was designed to allow you, the Introductory Statistics student, to explore some data that may be related to this population. Through the use of multiple statistical concepts covered in your MATH 153 course you will complete the provided assignment below to demonstrate your understanding of the manipulation of data, the use of technology in statistical analysis, the relationships between related variables, estimating population parameters, and hypothesis testing.
5-1 Discussion: Z or T Confidence Intervals?
1. In describing confidence intervals on a mean, z and t intervals are frequently mentioned. How are z and t confidence in ...
5-1 Discussion: Z or T Confidence Intervals?
1. In describing confidence intervals on a mean, z and t intervals are frequently mentioned. How are z and t confidence intervals different? Choose one interval and give an example of how it could be applied within an operations or production environment that is different from those mentioned in the overview. Discuss and share this information with your classmates. 2. In responding to two of your peers, select responses that use a confidence interval in a scenario that is different from your own. Do you agree with the use of a z or t confidence interval in those examples? Explain your reasoning and consider how confidence intervals could be applied to the final project. Support your initial posts and response posts with scholarly sources cited in APA style.
Testing for One-Way ANOVA
You will examine the one-way ANOVA based on a research question. Write a 2- to 3-paragraph analysis of your one-way ANOVA ...
Testing for One-Way ANOVA
You will examine the one-way ANOVA based on a research question. Write a 2- to 3-paragraph analysis of your one-way ANOVA results for your research question. Do not forget to evaluate if the assumptions of the test are met. Include any post-hoc tests with an analysis of the strength of any relationship found (effect size). Also, in your analysis, display the data for the output. Based on your results, provide an explanation of what the implications of social change might be.Use proper APA format, citations, and referencing for your analysis, research question, and display of output.Required Readings
Frankfort-Nachmias, C., & Leon-Guerrero, A. (2018). Social statistics for a diverse society (8th ed.). Thousand Oaks, CA: Sage Publications.
Chapter 11, “Analysis of Variance” (pp. 303-324)
Wagner, W. E. (2016). Using IBM® SPSS® statistics for research methods and social science statistics (6th ed.). Thousand Oaks, CA: Sage Publications.
Chapter 10, “Analysis of Variance”
Chapter 11, “Editing Output” (previously read in Week 2, 3, 4, 5. and 6)
Research Question and Secondary Data Discussion
During this course, you may have read about several different challenges and opportunities of using secondary data. There ...
Research Question and Secondary Data Discussion
During this course, you may have read about several different challenges and opportunities of using secondary data. There is an old, but current dilemma related with the use of secondary data, where researchers are divided on when the research questions should take form, before or after the review of the dataset. As in any other analytical process, you should approach this issue in a logical way; consider all the characteristics of the secondary data and your needs.For this Discussion, you will consider whether the research question should come before or after a review of the secondary data.Critically analyze this week’s Learning Resources.Post a 2- to 3-paragraph evaluation of the relationship between the research question and secondary data. Include the following:Your position on whether it is more important to devise your research question first and then match it with the appropriate secondary data, or to develop your research question after reviewing secondary dataA description of one strength and one limitation to each approach (justify your responses)Support your post with the Learning Resources and current literature. Use APA formatting for your Discussion and to cite your resources.References Kelder, J.-A. (2005). Using someone else’s data: Problems, pragmatics and provisions. Forum: Qualitative Social Research, 6(1), 1–13.Fullerton, S. M., & Lee, S. S. (2011). Secondary uses and the governance of de-identified data: Lessons from the human genome diversity panel. BMC Medical Ethics, 12(1), 16.https://cyfar.org/sites/default/files/McCaston,%202005.pdf
Similar Content
Algebra assignment show and explain
Read the following instructions in order to complete this discussion, and review the example at http://vize...
Please help with calculus question!
Determine the location of any maxima, minima, or saddle points for: (tell what each one is) f(x,y)=y^3-3y^2-x^2-9y+1...
rewriting a quadratic function to find the vertex of its graph
Write the quadratic function in form: g(x)=a(x-h)²+k then give the vertex of it's graphf(x)=-3x²-24x-5...
Statistics Help on Practice Final
Practice Final Hi, I need help with number 3 and 4. Do you think you could help me out? ...
what is 7% of 3/4 please help
i just need to know what this is.. i have a few more ... what is 13.75% of 38, what percent of 8 is 5 and finally what per...
A jar contains $34.75 in quarters and dollar coins. If the number quarters is three more than four t
A jar contains $34.75 in quarters and dollar coins. If the number quarters is three more
than four times the number of do...
Related Tags
Book Guides
Get 24/7
Homework help
Our tutors provide high quality explanations & answers.
Post question
Most Popular Content
Group Statistics and Independent Samples Test Project
For this assignment you will complete two separate investigations: one that uses an independent and one that uses a depend ...
Group Statistics and Independent Samples Test Project
For this assignment you will complete two separate investigations: one that uses an independent and one that uses a dependent/paired t-tests. T-testsA teacher is interested in knowing whether different students in her class have different levels of statistics knowledge at the beginning of the course and whether they gain knowledge in statistics over the course of her class. She administered a survey to all of her students asking whether they are pursuing a masters degree or Ph.D. (“Degree”) and entered that information along with their scores on a statistics pre-test (“PreTest”). At the end of the course, she administered the same test again and entered their scores (“PostTest”).For this assignment use StatPrePost.savAnswer questions 1-3 for each of the following two scenarios: Scenario 1: Is there a statistically significant difference between masters degree students and Ph.D. students in terms of statistics knowledge at the beginning of the course?Scenario 2: Is there a statistically significant difference between students’ statistics knowledge at the beginning and the end of the course?Report whether an independent samples or dependent/paired samples t-test should be used.Run the appropriate t-test (include Levene's test for homogeneity of variances for the independent t-test). Report the obtained t value, degrees of freedom (df), and significance level (p-value) for this t-test? If the Levene's test was run, report test statistic and significance level (p-value) for this test.What conclusion should the investigator draw on the basis of this test with regard to the null hypothesis if the alpha is set at .05?Submit your answers to #1-3 in a Word document. Use a page break to separate the independent and dependent t-test sections and label each section accordingly. Please upload your file to Blackboard using the Attach File option.
22 Multiple choice questions
1.Use your graphing calculator to evaluate . (2 points)e50π12.Use your calculator to select the best answer below: (2 po ...
22 Multiple choice questions
1.Use your graphing calculator to evaluate . (2 points)e50π12.Use your calculator to select the best answer below: (2 points)1−10does not exist3. (2 points)2a4.Find . (2 points)does not exist305.If and , then find . (2 points)40-416286.Evaluate . (2 points)0does not exist1-17.Evaluate . (2 points)8.Evaluate . (2 points)1does not exist9.If f is a continuous function with odd symmetry and , which of the following statements must be true? (2 points)I.II.There are no vertical asymptotes.III.The lines y = 5 and y = -5 are horizontal asymptotes.I onlyII onlyIII onlyAll statements are true.10.What are the horizontal asymptotes of the function ? (2 points)y = -2 and y = 2y = 2 onlyy = -2 onlyy = 011.Which one or ones of the following statements is/are true? (2 points)I.If the line y = 2 is a horizontal asymptote of y = f(x), then f is not defined at y = 2.II.If f(5) > 0 and f(6) < 0, then there exists a number c between 5 and 6 such that f(c) = 0.III.If f is continuous at 2 and f(2)=8 and f(4)=3, then .All statements are true.I onlyII onlyIII only12.Find (2 points)0-∞∞13.Evaluate . (2 points)0does not exist14.Which of the following are the equations of all horizontal and vertical asymptotes for the graph of ? (2 points)y = 0, x = -4, x = 4y = 1, x = -4, x = 4y = 0, x = -4, x = 0, x = 4y = 1, x = -4, x = 0, x = 415.Evaluate . (2 points)3-51does not exist16.Where is discontinuous? (2 points)x = -2x = 4x = -2 and x = 4f(x) is continuous everywhere17.Which of the following are continuous for all real values of x?(2 points)I.II.III.I onlyII onlyI and II onlyI and III only18.Which of the following must be true for the graph of the function ?(2 points)There is:I.a vertical asymptote at x = 3II.a removable discontinuity at x = 3III.an infinite discontinuity at x = 3I onlyII onlyIII onlyI, II, and III19.What is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x + 2? (2 points)82420.What is the instantaneous slope of y = at x = 3? (2 points)21.The height, s, of a ball thrown straight down with initial speed 64 ft/sec from a cliff 80 feet high is s(t) = -16t2 - 64t + 80, where t is the time elapsed that the ball is in the air. What is the instantaneous velocity of the ball when it hits the ground? (2 points)256 ft/sec-96 ft/sec0 ft/sec112 ft/sec22.The surface area of a right circular cylinder of height 5 feet and radius r feet is given by S(r)=2πrh+2πr2. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 6. (2 points)24π34π64π20π
MATH 153 CCBC Inferences from Data on The Working Poor in the US Questions
There is a population of workers in this country who are employed but who do not earn enough in wages to securely cover th ...
MATH 153 CCBC Inferences from Data on The Working Poor in the US Questions
There is a population of workers in this country who are employed but who do not earn enough in wages to securely cover the cost of their family’s basic needs. Although the numbers vary by state or district, these individuals and their families are similar in that they cross racial, cultural, and local boundaries. They are considered the nation’s “Working Poor.” This common graded assignment was designed to allow you, the Introductory Statistics student, to explore some data that may be related to this population. Through the use of multiple statistical concepts covered in your MATH 153 course you will complete the provided assignment below to demonstrate your understanding of the manipulation of data, the use of technology in statistical analysis, the relationships between related variables, estimating population parameters, and hypothesis testing.
5-1 Discussion: Z or T Confidence Intervals?
1. In describing confidence intervals on a mean, z and t intervals are frequently mentioned. How are z and t confidence in ...
5-1 Discussion: Z or T Confidence Intervals?
1. In describing confidence intervals on a mean, z and t intervals are frequently mentioned. How are z and t confidence intervals different? Choose one interval and give an example of how it could be applied within an operations or production environment that is different from those mentioned in the overview. Discuss and share this information with your classmates. 2. In responding to two of your peers, select responses that use a confidence interval in a scenario that is different from your own. Do you agree with the use of a z or t confidence interval in those examples? Explain your reasoning and consider how confidence intervals could be applied to the final project. Support your initial posts and response posts with scholarly sources cited in APA style.
Testing for One-Way ANOVA
You will examine the one-way ANOVA based on a research question. Write a 2- to 3-paragraph analysis of your one-way ANOVA ...
Testing for One-Way ANOVA
You will examine the one-way ANOVA based on a research question. Write a 2- to 3-paragraph analysis of your one-way ANOVA results for your research question. Do not forget to evaluate if the assumptions of the test are met. Include any post-hoc tests with an analysis of the strength of any relationship found (effect size). Also, in your analysis, display the data for the output. Based on your results, provide an explanation of what the implications of social change might be.Use proper APA format, citations, and referencing for your analysis, research question, and display of output.Required Readings
Frankfort-Nachmias, C., & Leon-Guerrero, A. (2018). Social statistics for a diverse society (8th ed.). Thousand Oaks, CA: Sage Publications.
Chapter 11, “Analysis of Variance” (pp. 303-324)
Wagner, W. E. (2016). Using IBM® SPSS® statistics for research methods and social science statistics (6th ed.). Thousand Oaks, CA: Sage Publications.
Chapter 10, “Analysis of Variance”
Chapter 11, “Editing Output” (previously read in Week 2, 3, 4, 5. and 6)
Research Question and Secondary Data Discussion
During this course, you may have read about several different challenges and opportunities of using secondary data. There ...
Research Question and Secondary Data Discussion
During this course, you may have read about several different challenges and opportunities of using secondary data. There is an old, but current dilemma related with the use of secondary data, where researchers are divided on when the research questions should take form, before or after the review of the dataset. As in any other analytical process, you should approach this issue in a logical way; consider all the characteristics of the secondary data and your needs.For this Discussion, you will consider whether the research question should come before or after a review of the secondary data.Critically analyze this week’s Learning Resources.Post a 2- to 3-paragraph evaluation of the relationship between the research question and secondary data. Include the following:Your position on whether it is more important to devise your research question first and then match it with the appropriate secondary data, or to develop your research question after reviewing secondary dataA description of one strength and one limitation to each approach (justify your responses)Support your post with the Learning Resources and current literature. Use APA formatting for your Discussion and to cite your resources.References Kelder, J.-A. (2005). Using someone else’s data: Problems, pragmatics and provisions. Forum: Qualitative Social Research, 6(1), 1–13.Fullerton, S. M., & Lee, S. S. (2011). Secondary uses and the governance of de-identified data: Lessons from the human genome diversity panel. BMC Medical Ethics, 12(1), 16.https://cyfar.org/sites/default/files/McCaston,%202005.pdf
Earn money selling
your Study Documents