Question

The function ƒ(x) = -6x + 11 has a range given by {–37, –25, –13, –1}. Select the domain values of the function from the list 1, 2, 3, 4, 5, 6, 7, 8. Explain how you arrived at your answer.

Answer 1

2, 4 6 and 8

Explanation:

Given the range of a function expressed as ƒ(x) = -6x + 11 where x are the values of the domain

Given the follwing range f(x) = {–37, –25, –13, –1}, we are to find the corresponding value of x;

-37 = -6x + 11

-37 - 11 = -6x

-48 = -6x

x = -48/-6

x = 8

if f(x) = -25

-25 = -6x + 11

-6x = -25-11

-6x = -36

x = -36/-6

x = 6

if f(x) = -13

-13 = -6x + 11

-6x = -13-11

-6x = -24

x = -24/-6

x = 4

if f(x) = -1

-1 = -6x + 11

-6x = -1-11

-6x = -12

x = -12/-6

x = 2

Hence required domain values are 2, 4 6 and 8