Question

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

Answer 1

Answer:

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

Step-by-step 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,...}