Question

Draw a sketch of the square and cube functions. What are the similarities and differences in the graphs?

Short answer

The graph of square function is

Similarity: Both functions pass through the origin.

Differences: The square function has the same y-value for 2 different x-values.

While cubic function has a unique y-value for a unique x-value.

Step-by-step solution

Step 1. Plot square function using a graphing calculator 

Here for $x=-2,2$

$y=4$

Step 2. Plot cubic function using graphing calculator 

The graph of$y=x^3$