Q 368. 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 368. (page 344)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Given Information

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

Step 2. Formation of ordered pairs

Its not a linear function. The table can be created using x-values. The ordered pairs can be formed using the points and connect to create graph.

$x$	$y = f (x)$	$(x, y)$
$0$	$y = - 2 + {(0)}^{3} 鈫� y = - 2$	$(0, - 2)$
$- 1$	$y = - 2 + {(- 1)}^{3} 鈫� y = - 3$	$(- 1, - 3)$
$1$	$y = - 2 + {(1)}^{3} 鈫� y = - 1$	$(1, - 1)$
$- 2$	$y = - 2 + {(- 2)}^{3} 鈫� y = - 10$	$(- 2, - 10)$
$2$	$y = - 2 + {(2)}^{3} 鈫� y = 6$	$(2, 6)$

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, range 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.
$f (x) = x^{3} - 2$

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)=x3-2

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

Theoretical and Mathematical Physics

Calculus

Discrete Mathematics

Statistics

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

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