Consider the function f(x) = (x + x)² +9.

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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Consider the function f(x) = (x + x)² +9.
(a) Rewrite the function without the absolute values.
f(x) =
X ≤ 0
x > 0
(b) Based on the piecewise version of the function, is the function continuous?
---Select--- ✓
(c) Based on the piecewise version of the function, is the function differentiable at x = 0 ? Hint: Think of the graphs.
---Select--- ✓
Transcribed Image Text:Consider the function f(x) = (x + x)² +9. (a) Rewrite the function without the absolute values. f(x) = X ≤ 0 x > 0 (b) Based on the piecewise version of the function, is the function continuous? ---Select--- ✓ (c) Based on the piecewise version of the function, is the function differentiable at x = 0 ? Hint: Think of the graphs. ---Select--- ✓
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