Answer
$f(-3) \approx10.87$
$f(-2) \approx7.79$
$f(-1) \approx5.58$
$f(0) =4$
$f(1) \approx2.87$
$f(2) \approx2.05$
$f(3) \approx1.47$
Also see the graph below.
Work Step by Step
Using calculator we will simply calculate the $y$ value for the $x$ values provided (Suggested to use scientific calculator). Then point each of these points on the coordinate grid and sketch a graph according to these points.
For a better visualization I will sketch the graph using Graphing Calculator. (See the image above)
$f(x) = 4e^{-\frac{x}{3}}$
$f(-3) =4e^{\frac{3}{3}} = 4e\approx10.87$
$f(-2) = 4e^{\frac{2}{3}} = 4\sqrt[3]{e^2} \approx7.79$
$f(-1) = 4e^{\frac{1}{3}}=4\sqrt[3]{e} \approx5.58$
$f(0) = 4e^{\frac{0}{3}} = 4e^0 =4$
$f(1) = 4e^{-\frac{1}{3}}=4\frac{1}{\sqrt[3]{e}} \approx2.87$
$f(2) = 4e^{-\frac{2}{3}}=4\frac{1}{\sqrt[3]{e^2} } \approx2.05$
$f(3) = 4e^{-\frac{3}{3}} = 4\frac{1}{e}\approx1.47$
