Consider the graph of f(x) to the right. 4 (a) Estimate S 4 [ f(x) dx = [ f(x) dx. 3 (c) If F(0) = 5, what is F(4)? F(4) = 2 1 0 1 2 f(x) 3 4 (b) Let F(x) be an antiderivative of f(x). Is F(x) increasing or decreasing on the interval 0 ≤ x ≤ 4? F(x) is Choose one
Consider the graph of f(x) to the right. 4 (a) Estimate S 4 [ f(x) dx = [ f(x) dx. 3 (c) If F(0) = 5, what is F(4)? F(4) = 2 1 0 1 2 f(x) 3 4 (b) Let F(x) be an antiderivative of f(x). Is F(x) increasing or decreasing on the interval 0 ≤ x ≤ 4? F(x) is Choose one
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 graph of \( f(x) \) to the right.
### (a) Estimate \( \int_0^4 f(x) \, dx \).
\[
\int_0^4 f(x) \, dx = \text{[Enter your estimation]}
\]
### (b) Let \( F(x) \) be an antiderivative of \( f(x) \). Is \( F(x) \) increasing or decreasing on the interval \( 0 \leq x \leq 4 \)?
\[
F(x) \text{ is } \boxed{\text{Choose one: Increasing/Decreasing}}
\]
### (c) If \( F(0) = 5 \), what is \( F(4) \)?
\[
F(4) = \text{[Enter your value]}
\]
### Graph Description:
The graph is a linear plot of the function \( f(x) \) over the interval from 0 to 4 on the x-axis. As x increases from 0 to 4, the function value increases linearly from 0 to 3 on the y-axis. The graph appears to form a straight line segment connecting these points, suggesting that \( f(x) \) is a linear function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1ac4a5c-5c91-4743-9545-fc03c7695e62%2Fb8d8ee5e-5f12-4371-82d0-3d8a37152283%2Fr5jw36d_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the graph of \( f(x) \) to the right.
### (a) Estimate \( \int_0^4 f(x) \, dx \).
\[
\int_0^4 f(x) \, dx = \text{[Enter your estimation]}
\]
### (b) Let \( F(x) \) be an antiderivative of \( f(x) \). Is \( F(x) \) increasing or decreasing on the interval \( 0 \leq x \leq 4 \)?
\[
F(x) \text{ is } \boxed{\text{Choose one: Increasing/Decreasing}}
\]
### (c) If \( F(0) = 5 \), what is \( F(4) \)?
\[
F(4) = \text{[Enter your value]}
\]
### Graph Description:
The graph is a linear plot of the function \( f(x) \) over the interval from 0 to 4 on the x-axis. As x increases from 0 to 4, the function value increases linearly from 0 to 3 on the y-axis. The graph appears to form a straight line segment connecting these points, suggesting that \( f(x) \) is a linear function.
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