Chapter 2: Q14. (page 105)

Graph each equation or inequality
$14 . g (x) = |x + 2|$

Short Answer

Expert verified

The graph of the equation $g (x) = |x + 2|$ is

Step by step solution

Step-1 – Apply the concept of absolute value function

The absolute value function, written as $f (x) = |x|$ is defined as follows:

f (x) = \{\begin{matrix} - x if x < 0 \\ x if x \geq 0 \end{matrix}

For examples, $|- 2| = 2; |2| = 2; |3.5| = 3.5; |- 3.5| = 3.5$

Step-2 – Make a Table of values

Make a table of values such that the values satisfy the equation $g (x) = |x + 2|$ .

Choose a value of x and find the corresponding value of $g (x)$ .

x	$x + 2$	$\|x + 2\|$
$- 3$	-1	$1$
$- 2$	0	0
$- 1$	1	1
0	2	2
1	3	3

Step-3 – Graph the tabled values

By using the values in the table, graph the equation.

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Graph each equation or inequality
$14 . g (x) = |x + 2|$

Short Answer

Step by step solution

Step-1 – Apply the concept of absolute value function

Step-2 – Make a Table of values

Step-3 – Graph the tabled values

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Graph each equation or inequality14. g(x)=x+2

Short Answer

Step by step solution

Step-1 – Apply the concept of absolute value function

Step-2 – Make a Table of values

Step-3 – Graph the tabled values

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Probability and Statistics

Geometry

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Graph each equation or inequality
$14 . g (x) = |x + 2|$