The graph of the function f(x) is given below. 2. 1 a. Draw the anti-derivative F(x) of f(x) such that F(0) = 0. b. Draw the anti-derivative G(x) of f(x) such that G(0) = 1. c. Find F(2), F(5) and G(5). d. For what values of x, the function F(x) is concave up? y = f(x) 9 (9,-1) 10 ·X

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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What's the anti for semi circle like that? Please answer this questions with details and explain it! Thank you! I found the 1-2 is a upward curve (0.5x), and 6-9

The graph of the function f(x) is given below.
a. Draw the anti-derivative F(x) of f(x) such that F(0) = 0.
b. Draw the anti-derivative G(x) of f(x) such that G(0) = 1.
c. Find F(2), F(5) and G(5).
d. For what values of x, the function F(x) is concave up?
2
y = f(x)
fus
·X
9 10
(9,-1)
Transcribed Image Text:The graph of the function f(x) is given below. a. Draw the anti-derivative F(x) of f(x) such that F(0) = 0. b. Draw the anti-derivative G(x) of f(x) such that G(0) = 1. c. Find F(2), F(5) and G(5). d. For what values of x, the function F(x) is concave up? 2 y = f(x) fus ·X 9 10 (9,-1)
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