Q. 11 - 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.

The graph of every exponential function $f\left(x\right)=a^x$, where $a>0$ and $a\ne 1$, passes through three points: _________, _________, and _________.

Step-by-Step Solution

Answer

The graph of every exponential function $f\left(x\right)=a^x$, where $a>0$ and $a\ne 1$, passes through three points: __$(0,1)$, $(1,a)$, and $(-1,\frac{1}{a})$.

Step 1. Given

The graph of every exponential function $f\left(x\right)=a^x$, where $a>0$ and $a\ne 1$, passes through three points: _________, _________, and _________.

Step 2. Find the points

The graph of f contains the points $(0,1),(1,a),(-1,\frac{1}{a})$