56.5k views
5 votes
The domain of the exponential function f(x)=a^x, a>0,a=\ 1, is the set of all real numbers. True or false?

User RayInNoIL
by
3.7k points

1 Answer

1 vote

Exponential function:


\begin{gathered} f(x)=a^x \\ \\ a>0 \\ a\\e1 \end{gathered}

When you restrict the a to be a positive number (a>0) the domain of the function is all real numbers.

If the value of a is negative then the function is undefined for -1< x < 1.

Then, the given statement is true
User Bosse Nilsson
by
3.6k points