Q 357. 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 357. (page 344)

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

Short Answer

Expert verified

Domain of the given function is $(- 鈭�, 鈭�) .$ Range of the given function is $[0, 鈭�) .$

Step by step solution

Step 1. Given Information

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

Step 2. Table of Values

The values can be formed as,

$x$	$y$
$- 2$	$y = 3 {(- 2)}^{2} = 12$
$- 1$	$y = 3 {(- 1)}^{2} = 3$
$0$	$y = 3 {(0)}^{2} = 0$
$1$	$y = 3 {(1)}^{2} = 3$
$2$	$y = 3 {(2)}^{2} = 12$

The graph can be drawn as,

Step 3. Domain and range

The function is a quadratic function, so domain of quadratic function is all real numbers. Domain is $(- 鈭�, 鈭�) .$ The above function is quadratic, function range is all real numbers equal to or greater than zero. Range is $[0, 鈭�) .$

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

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Table of Values

Step 3. 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)=3x2.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Table of Values

Step 3. Domain and range

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Probability and Statistics

Decision Maths

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

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