Find the domain of the function. 5x2 x2 - 64 f(x) = all real numbers x except x +8 all real numbers x such that x s-8 all real numbers x such that x 2 8 all real numbers x except x 8 all real numbers x except x = -8 Discuss the behavior of f near any excluded x-values. O f(x)→-8 as x -8 and as x 8*, f(x)→ o as x→ -8 and as x →8 O f(x) →o as x -8 and as x 8*, f(x) o as x → -8+ and as x → 8 f(x) - → - as x →-8 and as x 8*, f(x)→-0o as x→ -8 and as x 8 f(x) ∞ as x→-8 , f(x) o as x -8+ f(x) ∞ as x -8 and as x 8*, f(x) ∞ as x -8 and as x 8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Find the domain of the function.
5x2
x2 - 64
f(x)
all real numbers x except x = +8
all real numbers x such that x s-8
all real numbers x such that x 2 8
all real numbers x except x 8
all real numbers x except x -8
Discuss the behavior off near any excluded x-values.
O f(x)→ -o as x -8 and as x -→ 8*, f(x) o as x → -8 and as x → 8
O f(x)→ o as x -8 and as x -8", f(x) -∞ as x -8 and as x 8
O f(x)→-o as x -8 and as x 8*, f(x) -o as x -8 and as x 8
O f(x) → * as x -8, f(x) o as x→ -8*
f(x) ∞ as x -8 and as x 8*, f(x) ∞ as x -8 and as x 8
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Transcribed Image Text:Find the domain of the function. 5x2 x2 - 64 f(x) all real numbers x except x = +8 all real numbers x such that x s-8 all real numbers x such that x 2 8 all real numbers x except x 8 all real numbers x except x -8 Discuss the behavior off near any excluded x-values. O f(x)→ -o as x -8 and as x -→ 8*, f(x) o as x → -8 and as x → 8 O f(x)→ o as x -8 and as x -8", f(x) -∞ as x -8 and as x 8 O f(x)→-o as x -8 and as x 8*, f(x) -o as x -8 and as x 8 O f(x) → * as x -8, f(x) o as x→ -8* f(x) ∞ as x -8 and as x 8*, f(x) ∞ as x -8 and as x 8 Need Help? Read It
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage