Question

the function g is defined as follows for the domain given. g(x)=2x-2, domain=(-3,-2,1,5). find the range of g using set notation.

Answer 1

`Range: \y`

Explanation:

Given

`g(x) = 2x - 2`

`x = \-3,-2,1,5\`

Required

The range using set notation

We have:

`g(x) = 2x - 2`

When
`x = -3`

`g(-3) = 2*-3 - 2 = -8`

When
`x = -2`

`g(-2) = 2*-2 - 2 = -6`

When
`x = 1`

`g(1) = 2*1 - 2 =0`

When
`x=5`

`g(5) = 2*5 - 2 =8`

So, we have:

`y = -8,-6,0,8`

Using set notation, the range is:

`Range: \y`