Question

What are the domain and range of an exponential parent function

Answer 1

Hi! Let's go over the meanings of each term to find our answer.

Domain of an exponential parent function - the set of all real values of x that will give real values for y in the given function

Range of an exponential parent function - the set of all real values of y that you can get by plugging real numbers into x in the same function

Now we have our answers! All we had to do was go over the meanings, or definitions.

Hope this helps!

- Kylie

Answer 2

The domain of exponential parent function is all real values and range is real positive numbers
`y>0`.

Explanation:

We are asked to find the domain and range of exponential parent function.

We know that an exponential parent function is in form
`f(x)=b^x`, where b is the base of function.

We can see from parent exponential function that as x approaches to very large values of x, the value of y increases with no bounds.

As x approaches negative infinity, y approaches to zero.

We know that the domain of a parent exponential function is all real values of x that is
`(-\infty,\infty)` in interval notation.

The range of a parent exponential function is positive real numbers that is
`y>0`.