Q 366. a) Graph each function. b) State... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 3: Q 366. (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = 2 x^{3}$

Short Answer

Expert verified

Domain of the function is $(- 鈭�, 鈭�)$ and range of the function are $(- 鈭�, 鈭�) .$

Step by step solution

Step 1. Given Information

Given function is $f (x) = 2 x^{3} .$

Step 2. Formation of ordered pairs

Its not a linear function and the table can be created with different x-values. The graph can be created by connecting them.

$x$	$y = f (x)$	$(x, y)$
$0$	$y = 2 {(0)}^{3} 鈫� y = 0$	$(0, 0)$
$- 1$	$y = 2 {(- 1)}^{3} 鈫� y = - 2$	$(- 1, - 2)$
$1$	$y = 2 {(1)}^{3} 鈫� y = 2$	$(1, 2)$
$- 2$	$y = 2 {(- 2)}^{3} 鈫� y = - 16$	$(- 2, - 16)$
$2$	$y = 2 {(2)}^{3} 鈫� y = 16$	$(2, 16)$

Step 3. Graph of the function

The graph can be drawn as,

Step 4. Domain and Range

Given function is a cubic function, domain of cubic function is all real numbers. Domain of the function is $(- 鈭�, 鈭�)$ . Given function is a cubic function, domain of cubic function is all real numbers. Range of the function is $(- 鈭�, 鈭�) .$

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91影视

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = 2 x^{3}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formation of ordered pairs

Step 3. Graph of the function

Step 4. Domain and Range

One App. One Place for Learning.

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91影视

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.f(x)=2x3

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formation of ordered pairs

Step 3. Graph of the function

Step 4. Domain and Range

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Calculus

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = 2 x^{3}$