# How do you find the domain and range of #f(x)=10-x^2#?

##### 2 Answers

#### Answer:

Domain = Real Number

Range =

#### Explanation:

As

For range We know that

So

now add 10 on both side of equation

so equation become

So the range is

#### Answer:

Domain:

Range:

#### Explanation:

Well, first, let's explain what a domain and range is.

A domain is the set of argument values (or "input") in which the function is defined. So, for example. for a function

For this function

Therefore, the domain of this function is all real numbers, or

The range of a function is all possible values (or "output") of the function, after substituting in the domain. So, for example, a function such as

To find the range of

First, we can observe that the coefficient in front of the

Or, we can just see the graph of

From the graph, it is clear that the maximum value of

So, we can conclude that the domain of the function is all real numbers, or

A