Analyze the function below. Which of the following is/are true? 8f()81818 x+2 as x→-1+, f (x) →∞ as x→-1+, f (x) → ∞ as x → −2+, ƒ (x) → None of the above as x-1, f (x) → ∞ as x → -2+, f (x) → ∞ as x-2, f (x) → ∞

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Analyze the function below. Which of the following is/are true?
8 f (x²) 187_88
x+2
as x → −1+, ƒ (x) →∞as x → -1, f (x) → ∞
as x → -1+, f (x) → ∞
as x-2+, f (x) → ∞
as x → −2+, f (x) →∞as x→-2, f (x) → ∞
None of the above
Transcribed Image Text:Analyze the function below. Which of the following is/are true? 8 f (x²) 187_88 x+2 as x → −1+, ƒ (x) →∞as x → -1, f (x) → ∞ as x → -1+, f (x) → ∞ as x-2+, f (x) → ∞ as x → −2+, f (x) →∞as x→-2, f (x) → ∞ None of the above
Expert Solution
Step 1: We have given a rational function

f open parentheses x close parentheses equals fraction numerator x squared over denominator x plus 2 end fraction

Function is not defined where denominator is equal to 0.

x plus 2 not equal to 0

x not equal to negative 2

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