Explanation:
Any polynomial function has the domain of all real numbers. So here we'll choose a polynomial function in order to illustrate this problem. So any polynomial of the form:
[tex]f(x)=a(x+h)^n \\ \\ \\ For: \\ \\ a>0 \\ \\ n \ even \\ \\ h \ any \ constant[/tex]
meets our requirements. Therefore, if we set:
[tex]a=1 \\ \\ n=2 \\ \\ h=3[/tex]
Then, we'll have:
- A domain of all real numbers and the range all real numbers that are greater than or equal to zero.
This is shown graphically in the figure below.
