MATH 107 University of Maryland Baltimore County College Algebra Questions

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Mathematics

Math 107

University of Maryland Baltimore County

MATH

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Problems #22. For the following functions, a) Determine analytically (using algebra) if the function is even, odd, or neither. b) Identify any intercepts. c) Graph the function using Desmos. 22) 𝑓(𝑥) = 2𝑥 / 𝑥 2+1

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umgc login - Bing X Log In UMGC X Log In UMGC х Week 3 Participat X *Discussion_W3.p X The Real Life Fun X S Ask a new questi X + - Q 8 https://learnumgc.edu/content/enforced/643441-005890-01-2215-OL2-6988/attached%20files/Discussion_W3.pdf?_8d2lSessionVal=.. 10 2 of 2 o + L Page view A Read aloud Draw Highlight Erase G 09 15) y = f(x) 16) y = f(3x - 1) Problems #17 - #22. For the following functions, a) Determine analytically (using algebra) if the function is even, odd, or neither. b) Identify any intercepts. c) Graph the function using Desmos. 17) f(x) = x3 + 2x2 - x-2 18) f(x) = 14 - x2 19) f(x) = 2* 20) f(x) = ***** 21) f(x) = 79-x 22) f(x) = 2x x2+1 Problems #23 - #26. For the given points, a) Calculate the slope of the line that passes through these points. b) Determine the slope-intercept form of the line that passes through these points. c) State the x- and y-intercepts of the line as (x, y) coordinates. d) Create a table containing the coordinates of at least 5 points on the line, which can include the intercepts. e) Graph the line and points using Desmos. Type here to search j 71°F Mostly sunny 2:41 PM 7/2/2021
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Explanation & Answer

View attached explanation and answer. Let me know if you have any questions.Hello again! Attached here are the answers (in docx and PDF format). I'm marking this as complete. But if you have any concerns, clarifications, or revisions, please don't hesitate to send me a message. 😊

𝒇(𝒙) =

𝟐𝒙
+𝟏

𝒙𝟐

a) Determine analytically (using algebra) if the function is even, odd, or neither.
Check if Even:
𝑓(𝑥) =
𝑓(𝑥) =

2𝑥
+1

𝑥2

2(−𝑥)
(−𝑥)2 + 1

𝑓(−𝑥) =

−2𝑥
𝑥2 + 1...


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