# Find all the table values of this function g ( x ) = | 2 x + 3 | for the given values of the variable x .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.1, Problem 16E
To determine

## Find all the table values of this function g(x)=|2x+3| for the given values of the variable x .

Expert Solution

The value of the function for given values of x=3,2,0,1,3 are

g(3)=3,g(2)=1,g(0)=3,g(1)=5,g(3)=9

### Explanation of Solution

Given information:consider the function g(x)=|2x+3|

Calculation:

Evaluate the values of the function g(x)=|2x+3| for the given values of the variable x

Plug the value x=3, in the function g(x)=|2x+3| then we get the value of g(3).

g( 3 )=| 2( 3 )+3 | g( 3 )=| 6+3 | g( 3 )=| 3 | g( 3 )=3

Put x=3

Modulus of any minus signed value is positive

Plug the value x=2, in the function g(x)=|2x+3| then we get the value of g(2).

g(2)=|2(2)+3|g(2)=|4+3|g(2)=|1|g(2)=1

Put x=2

Modulus of any minus signed value is positive

Plug the value x=0, in the function g(x)=|2x+3| then we get the value of g(0).

g( 0 )=| 2( 0 )+3 | g( 0 )=| 0+3 | g( 0 )=3

Put x=0

Modulus of any minus signed value is positive

Plug the value x=1, in the function g(x)=|2x+3| then we get the value of g(1).

g(1)=|2(1)+3|g(1)=|2+3|g(1)=|5|g(1)=5

Put x=1

Modulus of any minus signed value is positive

Plug the value x=3, in the function g(x)=|2x+3| then we get the value of g(3).

g( 3 )=| 2( 3 )+3 | g( 3 )=| 6+3 | g( 3 )=| 9 | g( 3 )=9

Put x=3