Question

Given the function g(x) = x2 – 2, find the range when the domain is {-2, -1, 1, 3} A. {-1, 2, 7} B. {-6, -3, 3, 11} C. {-7, -2, -1, 1} D. {-11, -3,3, 6}

Answer 1

`g(x)=x^2-2`

The domain of the function is the values of x

Domain = {-2, -1, 1, 3}

We will substitute x by these values to find g(x)

g(x) is the range of the function

x = -2

`g(-2)=(-2)^2-2=4-2=2`

x = -1

`g(-1)=(-1)^2-2=1-2=-1`

x = 1

`g(1)=(1)^2-2=1-2=-1`

x = 3

`g(3)=(3)^2-2=9-2=7`

The range of the function is the values of g(x)

Range = {-1, 2, 7}

The answer is A