# How do you find the domain and range of f(x)=x^2−25?

Mar 29, 2017

Domain is $x \in \mathbb{R}$
Range is $f \left(x\right) \ge - 25$

#### Explanation:

$f \left(x\right) = {x}^{2} - 25$. Domain (possible value of x) is any real number.
So domain is $x \in \mathbb{R}$

Range (possible value of f(x)) : This is a parabola , vertex is $0 , - 25$ and opens upwards. so minimum point is $0 , - 25$

So range is $f \left(x\right) \ge - 25$ graph{x^2-25 [-80, 80, -40, 40]} [Ans]