How do you find the range of f(x) =x^2-1 for the domain D={-2,-1,0,2}?

1 Answer
Apr 11, 2017

R={-1,0,3}

Explanation:

The range is the set of values of f(x) you can get from your domain. So given f(x)=x^2-1 and domain D={-2,-1,0,2}, all you have to do is plug in the elements of your domain into your function.

color(red)(x=-2)

[1]" "f(-2)=(-2)^2-1

[2]" "f(-2)=4-1

[3]" "color(red)(f(-2)=3)

color(blue)(x=-1)

[1]" "f(-1)=(-1)^2-1

[2]" "f(-1)=1-1

[3]" "color(blue)(f(-1)=0)

color(green)(x=0)

[1]" "f(0)=(0)^2-1

[2]" "f(0)=0-1

[3]" "color(green)(f(0)=-1)

color(orange)(x=2)

[1]" "f(2)=(2)^2-1

[2]" "f(2)=4-1

[3]" "color(orange)(f(2)=3)

Now that you have solved for all the possible values of f(x), your range is:

R={-1,0,3}