Q 363. 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 363. (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = x^{2} - 1 .$

Short Answer

Expert verified

Domain of the function is $(- 鈭�, 鈭�) .$ Range of the function is $[- 1, 鈭�) .$

Step by step solution

Step 1. Given Information

The given function can be expressed as $f (x) = x^{2} - 1 .$

Step 2. Formation of ordered pair

It is not a linear function. Table can be created with x-values. The ordered pairs can be formed and connect for graph formation.

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

Step 3. Graph of the function

The graph can be drawn as,

Step 4. Domain and Range

Given function is a quadratic function, domain of quadratic function is all real numbers. Domain of the function is $(- 鈭�, 鈭�) .$ Given function is a quadratic function whose graph y-values greater than or equal to -1. Range of the function is $[- 1, 鈭�) .$

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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.
$f (x) = x^{2} - 1 .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formation of ordered pair

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)=x2-1.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formation of ordered pair

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

Applied Mathematics

Mechanics Maths

Geometry

Discrete Mathematics

Logic and Functions

Decision 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.
$f (x) = x^{2} - 1 .$