Question

Graphing Exponential Functions Complete the table of values, rounded to two decimal places, and sketch a graph of the function.

Short answer

The table is:

x	$f\left(x\right)=4e^{-\frac{x}{3}}$
$-3$	10.87
$-2$	7.79
$-1$	5.58
0	4
1	2.87
2	2.05
3	1.47

The graph is:

Step-by-step solution

Step 1. Given.

The given function is $f\left(x\right)=4e^{-\frac{x}{3}}$.

Step 2. To determine.

We have to make a table for the given function. Then we sketch the function.

Step 3. Calculation.

We plug the given x values inand calculate them using a calculator.

x	$f\left(x\right)=4e^{-\frac{x}{3}}$
$-3$	10.87
$-2$	7.79
$-1$	5.58
0	4
1	2.87
2	2.05
3	1.47

Using these coordinates, we graph the function: