Question

Find the range of the function f(x)=4x-1 for the domain {-1,0,1,2,3}.

Answer 1

Range = {4(-1) - 1, 4(0) - 1, 4(1) - 1, 4(2) - 1, 4(3) - 1} = {-5, -1, 3, 7, 11}

Answer 2

Range defined as the complete set of possible values of the dependent variable,

or

The range is defined as the resulting y-values we get after substituting all the possible values of x from domain.

Given the function:
`f(x)=y = 4x-1`

Also, x ∈Domain = {-1, 0, 1, 2, 3}

For x = -1;

y = 4(-1)-1 = -4 -1 = -5

For x = 0;

y = 4(0)-1 = 0 -1 = -1

For x = 1;

y = 4(1)-1 = 4-1 =3

For x = 2;

y = 4(2)-1 = 8-1 =7

For x = 3;

y = 4(3)-1 = 12-1 =11

Therefore, the range of the function are the set of all values of y i,e

Range = {-5, -1, 3, 7 , 11}