How do you find the domain and range of #f(x)=10-x^2#?
Domain = Real Number
For range We know that
now add 10 on both side of equation
so equation become
So the range is
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