Chapter 8.5, Problem 51PPSE

Solution

To determine:What makes the statement “The domain and range of $a\left(n\right)$ ________ function is the set of all real numbers “ is sometimes true?

Option F) Polynomial

Option G) Logarithmic

Option H) Exponential

Option I) Quadratic

Option (F) is the correct Option for the statement what makes the statement “The domain and range of $a\left(n\right)$ ________ function is the set of all real numbers “ is sometimes true?

Given information:

Thestatement “The domain and range of $a\left(n\right)$ ________ function is the set of all real numbers “ is sometimes true?

Option F) Polynomial

Option G) Logarithmic

Option H) Exponential

Option I) Quadratic

Explanation:

Consider any given functions,

The domain and range of the polynomial functions is the set of real numbers which is sometimes true.

For example:

If taken the function $f\left(x\right)=x^3$ , then domain and range is value of all real numbers.

But if taken the function $f\left(x\right)=x^2$ , then the domain is set of all real numbers, while range is the set of whole numbers.

Thus, option (F) is correct.