Determine which graph is the graph of f(x) if the following are true. f(0) = -5 f'(x) is positive on nowhere. f(x) has an inflection point at x = 0. • F"(x) is positive on (-∞, 0). y 15 10 5 II 20 15 -15 -10 -5 <-15 -10 -5 O 15 20 5 15 10 5 -10 15 15 10 5 -10 15 5 5 10 15 <-15 -10 1-5 10 -15 15 10 5 -10 -15 5 5 10 10 15 15 X X e G

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...
icon
Related questions
Question
Determine which graph is the graph of f(x) if the following are true.
f(0) = -5
• f'(x) is positive on nowhere.
O
O
-15 -10
-15
f(x) has an inflection point at x = 0.
f"(x) is positive on (-∞, 0).
y
4
-5
10 -5
15
10
5
-5
-10
15
a
15
10
5
-5
-10
-15
5
5
20
10
15
15
X
X
-15
-15
-10
-10
-5
-5
15
10
10
5
-5
10
-15
15
10
5
-10
15
10
5
5
10
10
15
Jit
15
x
X
Transcribed Image Text:Determine which graph is the graph of f(x) if the following are true. f(0) = -5 • f'(x) is positive on nowhere. O O -15 -10 -15 f(x) has an inflection point at x = 0. f"(x) is positive on (-∞, 0). y 4 -5 10 -5 15 10 5 -5 -10 15 a 15 10 5 -5 -10 -15 5 5 20 10 15 15 X X -15 -15 -10 -10 -5 -5 15 10 10 5 -5 10 -15 15 10 5 -10 15 10 5 5 10 10 15 Jit 15 x X
Expert Solution
Step 1

Topic- Functions and application of derivatives

We are given

  • f(0)=-5
  • f'(x) is positive on nowhere
  • f(x) has an inflection point at x=0
  • f''(x) is positive on -,0
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning