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:
The domain of exponential parent function is all real values and range is real positive numbers [tex]y>0[/tex].
Step-by-step explanation:
We are asked to find the domain and range of exponential parent function.
We know that an exponential parent function is in form [tex]f(x)=b^x[/tex], 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 [tex](-\infty,\infty)[/tex] in interval notation.
The range of a parent exponential function is positive real numbers that is [tex]y>0[/tex].
