Question 1 Which of the following is an example of a function? {(-1, 0), (-1, 3), (3, 9), (5, 10)} {(1, 3), (2, 5), (3, 8), (4, 10)} {(4, 6), (5, 9), (4, 7)} {(0, 2), (0, 3), (1, 5), (4, 5)} 2 points Question 2 What is the inverse of y = 5x + 20? y = 5x + 4 y = 20x - 52 points Question 3 What is the domain of the following function? {0, 4, 5} {0, 1, 2, 3, 4} {0, 2, 3, 4, 5} {1, 2, 3, 4}2 points Question 4 Find g º f if f(x) = 2x - 1 and g(x) = x + 2. 2x - 3 2x + 1 2x - 1 2x + 32 points Question 5 What is the solution of -5x > 25? x > -5 x < -5 x > 5 x < 52 points Question 6 The solution of is 25. TRUE FALSE2 points Question 7 The only solution to |r+3|=1 is -2. TRUE FALSE2 points Question 8 Solve 3|2-x|≥12 x ≤ -2 or x ≥ 6 x ≥ 2 and x ≤ 6 x ≤ -2 x ≥ 62 points Question 9 Find the slope between points (2, 3) and (-1, 0). -1 1 0 undefined slope2 points Question 10 What is the slope of the following linear function? -3 3 2 points Question 11 What is the equation of the following linear function? y = -4x - 4 y = 4x - 4 y = 3x - 4 y = -3x - 42 points Question 12 What is the equation of a line which includes points (-5, 5) and (2, 5)? x = -5 x = 5 y = 5 y = -52 points Question 13 The equation of a line with slope m = - and including point (-3, 5) is y = - x - 4. TRUE FALSE2 points Question 14 The following is the graph of 2x - 8y = 10. TRUE FALSE2 points Question 15 The following is the graph of y = -x - 6. TRUE FALSE2 points Question 16 Write the inequality of the following graph. y < -2x - 1 y > 2x - 1 y > -2x - 1 y < 2x - 12 points Question 17 The following graph is the quadratic parent function. TRUE FALSE2 points Question 18 What is the a value of the following function? ½ 3 22 points Question 19 The following is the graph of f(x) = 3(x - 3)2 + 1. TRUE FALSE2 points Question 20 Which of the following is the equation of g(x) if the parent function is f(x) = x2 and a = 3, h = -5, and k = 6? f(x) = 3(x - 5)2 + 6 f(x) = -3(x + 5)2 + 6 f(x) = 3(x + 5)2 + 6 f(x) = 3(x - 5)2 - 62 points Question 21 Find the solution to x2 = 36 x = 6 x = -6 x = ±12 x = ±62 points Question 22 Solve the quadratic equation y2 - 5y = -4 by factoring. {-2, 2} {2, 2} {-1, 4} {4, 1}2 points Question 23 Solve the quadratic equation x2 - 3x - 10 = 0. {-5, 2} {-2, -5} {-2, 5} {2, 5}2 points Question 24 Determine the number of solutions of 2x2 - 3x - 5 = 0. 0 1 (double root) 22 points Question 25 The solution of x2 = 15 + 2x is {3, 5}.TRUEFALSE2 points Question 26 The solution to x2 + 4x - 1 = 0 is TRUEFALSE2 points Question 27 Determine the zeros of the function x2 - 16x + 63 = 0. {7, 9} {-7, 9} {-9, 7} {-9, -7}2 points Question 28 What is the vertex of the function f(x) = x2 - 7x - 18? (- ,- ) (7, -121) ( ,- ) (7, )2 points Question 29 An object is launched upward at 64 ft/sec from a platform that is 80 feet high. What is the objects maximum height if the equation of height (h) in terms of time (t) of the object is given by h(t) = -16t2 + 64t + 80? 144 feet 123 feet 167 feet 172 feet2 points Question 30 What is the domain of the following function? x > 2 x < 6 x ≥ 2 and x ≤ 6 All Real Numbers2 points Question 31 Find the equation of the quadratic function with zeros at -1, and 1 and vertex at (0, -6). y = 6x2 + 6 y = x2 - 1 y = -6x2 - 6 y = 6x2 - 62 points Question 32 Find the equation of the quadratic function with zeros 10 and 12 and vertex at (11, -2). y = 2x2 - 44x + 120 y = 2x2 - 44x - 240 y = 2x2 - 44x + 240 y = -2x2 - 44x + 2402 points Question 33 The following is the graph of f(x) = x2 - 9. TRUEFALSE2 points Question 34 Write the equation for the area (A) in terms of length ( ) of a playground if the width (w) is one half as long as the length ( ). You do not need to solve the equation. A = 2 A = 2 2 2 points Question 35 Simplify 2 points Question 36 can be simplified to ¼.TRUEFALSE2 points Question 37 The following is the graph of the parent function y = . TRUE FALSE2 points Question 38 The following is the graph of . TRUE FALSE2 points Question 39 For the parent function y = what effect does the values h = -2 have on the graph? Vertical shift of 2 units down. Vertical shift of 2 units up. Horizontal shift of 2 units to the left. Horizontal shift of 2 units to the right.2 points Question 40 Given b = 4 and h = 1, what is the equation of the graph if the parent function is y = ? y = y = y = y = 2 points Question 41 The following is the graph of . TRUE FALSE 2 points Question 42 Find the domain of the function . x ≥ 2 x > 2 x ≥ 4 x < -22 points Question 43 The solution to the radical function is x = -22. TRUE FALSE2 points Question 44 Solve . -16, 4 4 -16 -4, 162 points Question 45 Solve . 6 7 8 92 points Question 46 Given the following graph, what is the approximate value of the function at x = 4? 1.9 1.8 1.2 12 points Question 47 Solve . ≤ 4 x ≥ 2 5 ≤ x ≤ 21 x ≤ 5 x ≥ 52 points Question 48 Does the function y = 8x represent a direct or inverse variation? Direct Variation Inverse Variation2 points Question 49 If y varies inversely as x. find the constant of variation if y = 6 and x = 2. 3 12 6 42 points Question 50 Write an appropriate inverse variation equation if y = 11 when x = 3. y = 15x y = 33x 2 points

A quantitative research study requires a numerical measure on the dependent variable. A quantitative measure is based on a scale. For example, say you are interested in measuring creativity of students. Search the internet, Google Scholar, journal articles, and/or the library to find an instrument that best matches your topic. For example, if your topic was “creativity,” you may want to try key terms such as; creativity measure, creativity scale, creativity instrument, etc. Read about the instrument and make sure it is a good fit.Then using the what you learned in the course, write a research question and testable null hypothesis that may be considered for your study. Include the following information in your post: (Research Question, Null hypothesis, Independent variable, Dependent variable, Quantitative Instrument, Participants, Statistical test, the reason for conducting the study and how it would glorify our Lord Jesus Christ).For example:Research Question: Do high school students who participate in a First Robotic Lego League club tend to be better at creative problem solving than students who do not participate in a Robotic Lego League club?Null Hypothesis: There is no difference in creative problem-solving scores of high school students who participate in a First Robotic Lego League club and those who do not participate in a First Robotic Lego League club.Independent variable: First Robotic Lego League club participationDependent variable: Creative problem solving scoresInstrument (Scale): Creativity and Problem-Solving Aptitude TestParticipants: Middle school students in the Fairfax Country School SystemStatistical Test: Independent Samples t-testWhy would you like to conduct this study? I am a science teacher in Fairfax County. Over the last few years I have sponsored the First Robotic Lego League club at my school. When interacting with my club students, I have observed that they are willing to spend hours to solve a problems related to their robotics challenge. This hands-on science experience appears to build confidence, grow their knowledge about science, and appears to develop creative problem solving. Some of my students’ solutions have amazed me. For example, one of the robotic competitions challenges required that the robot etc…How would your study glorify our Lord Jesus Christ (include scripture)? In the beginning God created, thus God is creative. The bible states in Genesis 1:27 (NIV), “So God created mankind in his own image, in the image of God he created them; male and female he created them.” I believe that God made us after His own image and place in us all the attribute of creativity. Creativity is etc…