Question

What is the range of each function given below?
c. Let f(x) = x2 − 4.

Answer 1

Range of f={-4,-3,0,5,12,21,32,...}

Explanation:

We are given that a function

`f(x)=x^2-4`

We have to find the range of f.

Substitute x=2 then we get

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

`f(2)=4-4=0`

When we substitute x=0 then we get

`f(0)=(0)^2-4=0-4=-4`

When we substitute x=1

`f(1)=1-4=-3`

When x=3

`f(3)=(3)^2-4=9-4=5`

Therefore, the range of f={-4,-3,0,5,12,21,32,...}