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.

$f\left(x\right)={0.3}^x,x=1.5$

To determine

To calculate: The function $f\left(x\right)={0.3}^x$ at $x=1.5$ and round off the result to three decimal places.

Answer to Problem 1RE

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

Explanation of Solution

Calculation:

Consider the given function,

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

For the value of $x=1.5$.

Now, with the help of a calculator, the value of the given function is,

$\begin{array}{l}\text{Function value Calcultor Keystrokes Display}\\ f\left(x\right)={\left(0.3\right)}^{1.5}\text{ 0}\text{.3}\boxed{^}1.5\boxed{\text{Enter}}\text{ 0}\text{.16431}\end{array}$

Now round off the result to three decimal places.

$f\left(1.5\right)=0.164$

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