(x– 4)(x+2)(x+4)(x+ 2)Consider the following function: f(x) =i.For what values of x is f(x) continuous? State your answer using interval notationii.Find the following limits (if they exist)lim f(x)а.S(x)x→ -4 b. lim f(x)x→ -2iii.Does f(x) have any vertical asymptotes? If yes, then write down the equation of the verticalasymptote(s)? Show working or give a reason for your answer.iv.Does f(x) have a horizontal asymptote? If yes, then write down the equation of the horizontalasymptote? Show working or give a reason for your answer.

Answered: Image /qna-images/answer/4acc57fe-b4c6-4f00-ba1b-ff9e864ce90b.jpg

Consider the following function: f (x) = (x- 4)(x+2) (x +4)(x + 2) i. For what values of x is f(x) continuous? State your answer using interval notation ii. Find the following limits (if they exist) а. x→ -4 lim f(x)

Consider the following function: f (x) = (x- 4)(x+2) (x +4)(x + 2) i. For what values of x is f(x) continuous? State your answer using interval notation ii. Find the following limits (if they exist) а. x→ -4 lim f(x)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

(x– 4)(x+2)
(x+4)(x+ 2)
Consider the following function: f(x) =
i.
For what values of x is f(x) continuous? State your answer using interval notation
ii.
Find the following limits (if they exist)
lim f(x)
а.
S(x)
x→ -4

b. lim f(x)
x→ -2
iii.
Does f(x) have any vertical asymptotes? If yes, then write down the equation of the vertical
asymptote(s)? Show working or give a reason for your answer.
iv.
Does f(x) have a horizontal asymptote? If yes, then write down the equation of the horizontal
asymptote? Show working or give a reason for your answer.

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