Answer
$f(-2) \approx0.2$
$f(-1) \approx0.55$
$f(-0.5) \approx0.91$
$f(0) \approx1.5$
$f(0.5) \approx2.47$
$f(1) \approx4.08$
$f(2) \approx11.08$
For the graph see the image 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)
$f(x) = 1.5e^x$
$f(-2) = 1.5e^{-2}\approx0.2$
$f(-1) = 1.5e^{-1}\approx0.55$
$f(-0.5) = 1.5e^{-0.5}\approx0.91$
$f(0) = 1.5e^{0}\approx1.5$
$f(0.5) = 1.5e^{0.5}\approx2.47$
$f(1) = 1.5e^{1}\approx4.08$
$f(2) = 1.5e^{2}\approx11.08$
