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Fall 2021 challenge questions W7 student.docx - MAC 1105...

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MAC 1105 MATHGYMFALL2021 Week 71.a. What does the asymptote of a graph represent?Group Members
b. Can a horizontal asymptote be crossed? Explain your answer
c. Can a vertical asymptote be crossed? Explain your answer
12.Given thatf(x)=1+2(x2)a)What are the asymptotes3
b)Show how you would find the Domain off(x)and write this domain in interval notation(-oo,2)U(2,oo)c)Find the range off(x)
d)What are the x-intercepts off(x)
e)What are the y-intercepts off(x)
f) Identify a correct set of transformations that would get you the graph of this equation. Hint –you may need to start with a parent function that you are relatively unfamiliar with. (You do nothave to graph the transformations – Just list them)
2g) Use what you found from a) to f) to graphf
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Term
Fall
Professor
N/A
Tags
Limit of a function, Asymptotic curve

Unformatted text preview: f(x ) (0,¾) f) Identify a correct set of transformations that would get you the graph of this equation. Hint – you may need to start with a parent function that you are relatively unfamiliar with. (You do not have to graph the transformations – Just list them) 2g) Use what you found from a) to f) to graph f ( x )= 1 + 2 (x − 2 ) 33. Given the following function f ( x ) =x − 2 x a) What are the asymptotes?Horizontal asymptote y=1 Vertical asymptote x=0 b) Show how you would find the Domain of f ( x )and write this domain in interval notation 3 (-oo,0)U(0,oo),{x|x cannot equal 0} c)What is the range of f( x ) ? (-oo,1)U(1,oo),{y|y cannot equal 1} d)Find the x-intercepts of f ( x )(2,0) e)Find the y-intercept of f ( x )Nonef)Graph the function f( x ) = x−2 x4...
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