Let $f\left(x\right) = x^{3} + 2$ and let $g\left(x\right) = 2 f\left(x\right)$. Try this using the 2-169 HW eTool (Desmos) 

1. Write out the function $g\left(x\right)$.

   Answer (a):

   $f\left(x\right) = 2x^{3} + 4$

2. Draw a graph of $f\left(x\right)$ and $g\left(x\right)$ for the interval $[−2, 1]$.

3. Use your program to compare the areas under each of the curves separately. What do you conclude?