Question

What is the graph of the inequality y < (x+1)^3?

Answer 1

Simplify

(

x

+

1

)

3

.

y

<

x

3

+

3

x

2

+

3

x

+

1

Explanation:

Answer 2

The graph of the inequality y < (x + 1)³ is shown in the image at the end.

How to graph the inequality?

We have the following inequality:

y < (x + 1)³

And we want to do the graph.

First, we need to graph the cubic equation:

y = (x + 1)³

With a dashed line.

We must use a dashed line because the points in the curve itself aren't solutions of the inequality.

Then, because y is smaller than the equation, we need to shade all the region below the cubic graph, we will get the graph: