Q. 10 - 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 graph of the exponential function $f\left(x\right)=a^x$, where $a>0$ and $a\ne 1$, has no $x-$intercept.

Step-by-Step Solution

Answer

True. The graph of the exponential function $f\left(x\right)=a^x$ has no $x-$intercept.

Step 1. Given

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

To find the $x-$intercept.

Step 2. Finding x - intercept

For the exponential function, there are no $x-$intercepts and the $y-$intercept is one.

So the given statement is true.