The graph of fis shown below. On what interval is f' an increasing function? 2 Select one: a. (2, ∞) O b. (-2, ∞) O c. (1, ∞) O d. (0, ∞) e. (-1, ∞) di -2 -6-

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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Question
The graph of fis shown below. On what interval is fan
increasing function?
St
Check
TO
Select one:
O a. (2,00)
O b. (-2, ∞)
O c.
(1, ∞ )
O d. (0, ∞)
O e. (-1, ∞ )
6
4
2
-2
-6
-8
f
Transcribed Image Text:The graph of fis shown below. On what interval is fan increasing function? St Check TO Select one: O a. (2,00) O b. (-2, ∞) O c. (1, ∞ ) O d. (0, ∞) O e. (-1, ∞ ) 6 4 2 -2 -6 -8 f
Expert Solution
Step 1

The graph of the function f is given.

The aim is to find the interval on which f' is increasing.

Concept:

  • The function f is said to be increasing on any intervals in its domain if f'is positive or f'>0 .
  • The function  f is said to be decreasing on any intervals in its domain if f'is negative or f'<0 .
  • A function  f is said to be concave up in an interval where its first derivative f' is increasing or it is said to be concave down in an interval where its first derivative f' is decreasing.
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