Chapter 3: Q. 10 (page 260)

Sketch the graph of a function f with the following properties:
f is continuous and defined on R;
f has critical points at x = −3, 0, and 5;
f has inflection points at x = −3, −1, and 2.

Short Answer

Expert verified

Graph is :

Step by step solution

Step 1. Given information

We have been given the following properties of a function f:

f is continuous and defined on R;

f has critical points at x = −3, 0, and 5;

f has inflection points at x = −3, −1, and 2.

We have to sketch the graph of this function.

Step 2. Sketch the graph

For critical points :

$f^{'} (- 3) = 0; f^{'} (0) = 0; f^{'} (5) = 0$

For inflection points :

$f^{''} (- 3) = 0; f^{''} (- 1) = 0; f^{''} (2) = 0$

Thus, the graph is:

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Sketch the graph of a function f with the following properties:
f is continuous and defined on R;
f has critical points at x = −3, 0, and 5;
f has inflection points at x = −3, −1, and 2.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Sketch the graph

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Sketch the graph of a function f with the following properties:f is continuous and defined on R;f has critical points at x = −3, 0, and 5;f has inflection points at x = −3, −1, and 2.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Sketch the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Statistics

Discrete Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Sketch the graph of a function f with the following properties:
f is continuous and defined on R;
f has critical points at x = −3, 0, and 5;
f has inflection points at x = −3, −1, and 2.