Chapter 5.3, Problem 9AYU

To determine

To find: Whether the given statement is true or false.

Explanation of Solution

Given information:

The given statement is, “The range of the exponential function $f\left(x\right)=C{a}^x$ , where $a>0$ , $a\ne 1$ and $C\ne 0$ is set of all real numbers”.

An exponential function is a function of the form $f\left(x\right)=C{a}^x$ , where $a>0$ , $a\ne 1$ and $C\ne 0$ are real numbers. The base $a$ is the growth factor and $C$ is the initial value.

The x -axis is the asymptote of the exponential functions, so the range of the exponential function is all the real numbers greater than $0$ .

Thus, the given statement is false.