Question

Find the range of the function y = 7x - 1 when the domain is {-1, 0 1}

Answer 1

The domain is all the values that x is allowed to take on. So {-1, 0, 1} is for x.
If x takes all values in the set {-1, 0, 1} then 7x - 1 takes all values in the set {7·(-1) -1, 7·0 - 1, 7·1 - 1} and the range of the given function is {-8, - 1, 6} .

The answer is: {-8, - 1, 6} .

Answer 2

Range: {-8;-1;6}

Explanation:

The domain of a function is the set of all the values for which the function is defined (x-axis).

The range of a function is the set of all the values that f takes (Y-axis).

To calculate the range we must observe what value the function takes when entering the values for which it is defined (the domain).

In this case, those values are:

{-1,0,1}

`y= 7(-1)-1\\ y= -7-1\\ y=-8`

`y= 7(0)-1\\ y= -1`

`y= 7(1)-1\\ y= 7-1\\ y=6`

Range: {-8;-1;6}