Question

use a calculator to evaluate the function at the indicated values. round your answers to three decimals.
$f(x) = 3^x - 1$
$f\left(\frac{1}{2}\
ight) = $
$f(1.5) = $
$f(-1) = $
$f\left(\frac{1}{4}\
ight) = $

Explanation:

Step1: Calculate \(f(\frac{1}{2})\)

Substitute \(x=\frac{1}{2}\): \(f(\frac{1}{2})=3^{\frac{1}{2}} - 1 = \sqrt{3} - 1 \approx 1.732 - 1 = 0.732\)

Step2: Calculate \(f(1.5)\)

Substitute \(x=1.5\): \(f(1.5)=3^{1.5} - 1 = 3\sqrt{3} - 1 \approx 5.196 - 1 = 4.196\)

Step3: Calculate \(f(-1)\)

Substitute \(x=-1\): \(f(-1)=3^{-1} - 1 = \frac{1}{3} - 1 \approx 0.333 - 1 = -0.667\)

Step4: Calculate \(f(\frac{1}{4})\)

Substitute \(x=\frac{1}{4}\): \(f(\frac{1}{4})=3^{\frac{1}{4}} - 1 \approx 1.316 - 1 = 0.316\)

Answer:

0.732
4.196
-0.667
0.316