Chapter 5, Problem 1RE

Evaluating an Exponential Function In Exercises 1-6, evaluate the function at the given value

of $x.$ Round your result to three decimal places.

$f\text{(}x\text{) = 0}{\text{.3}}^x\text{, }x=1.5$

To determine

To calculate: The value of the function $f\left(x\right)={0.3}^x$ at $x=1.5$.

Answer to Problem 1RE

The value of the function, $f\left(x\right)={0.3}^x$ at $x=1.5$ is $f\left(1.5\right)=0.164$.

Explanation of Solution

Calculation:

Consider the provided function,

$f\left(x\right)={0.3}^x$

Substitute $x=1.5$ into the function $f\left(x\right)={0.3}^x$ as,

$\begin{array}{c}f\left(x\right)={0.3}^x\\ f\left(1.5\right)={0.3}^{1.5}\end{array}$

To calculate the value of ${0.3}^{1.5}$, use calculator as,

Calculator keystroke,

$0.3\boxed{^}1.5\boxed{\text{Enter}}$

Now the value can be displayed as,

$0.1643$

Hence, value of the function, $f\left(x\right)={0.3}^x$ at $x=1.5$ is $f\left(1.5\right)=0.164$.