x+2, (41) Let g(x) = [*¸ ƒ(t)dt where ƒ(x) = { 1, -2≤x≤0 0

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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(41) Let g(x) = f(t)dt where ƒ(z) =
x + 2,
1,
4-3x,
-2 ≤ x ≤0
0 < x≤ 1
1<x ≤ 2.
(a) Find an expression for g(x).
(b) Sketch the graphs of f and g.
(c) Where is f continuous? Where is f differentiable? Where is g differentiable?
Transcribed Image Text:(41) Let g(x) = f(t)dt where ƒ(z) = x + 2, 1, 4-3x, -2 ≤ x ≤0 0 < x≤ 1 1<x ≤ 2. (a) Find an expression for g(x). (b) Sketch the graphs of f and g. (c) Where is f continuous? Where is f differentiable? Where is g differentiable?
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