Question

Consider the following equations.

f(x) = −5x3 , y= 0 , x =−2 , x =−1

Sketch the region bounded by the graphs of the equations.

Answer 1

Please, see the image below.

Explanation:

I attached an image of the sketched region below.

You take into account that y=0 is the x axis.

Furthermore, you take into account that f(x)=-5x^3 is, for x=-2 and x=-1:

f(-2)=40

f(-1)=5

Finally, the region bounded by the equations is above the negative x axis.