BuyFind

Precalculus: Mathematics for Calcu...

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

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

Answer to Problem 16E

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

Add 6 and 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

Add 4 and 3

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

Add 0 and 3

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

Add 2 and 3

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

Add 6 and 3

Modulus of any minus signed value is positive

Thus, the required table:

  xg(x)3321031539

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