How do the graphs of the functions differ from the graph of f(x)=3.5x^3? For each function, select Steeper, Less steep, or Reflected over the x-axis to describe the differences between the graph of the function and the graph of f(x).
Select all answers that are correct.

First, let's do some general definitions:

We start with:

f(x) = 3.5*x^3

A general equation of this form is:

g(x) = a*x^3

if:

IaI > 3.5 the function will be steeper.

IaI < 3.5 the function will be less steep.

a < 0, means that we have a reflection over the x-axis.

Then:

p(x) = 4.5*x^3

bassed on what we wrote above, this function is steeper than f(x)

q(x) = -x^3

This is less steep ( a = -1 in this case) and we also have a reflection over the x-axis.

r(x) = 3*x^3

In this case 3 < 3.5, this means that this will be lees steep than f(x)