Q. 8 - Precalculus Enhanced with Graphing Utilities

Question

Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

True or False 

The domain of the exponential function

$f\left(x\right)=a^x$ where $a>0,a\ne 1$is the set of all real numbers.

Step-by-Step Solution

Answer

True. The domain of the exponential function is the set of all real numbers.

Step 1. Given

The function $f\left(x\right)=a^x$

To find the domain of the function.

Step 2. Domain of exponential function

The domain is the set of all real numbers and the range is the set of positive real numbers.

So the statement is true.