# What is the end behavior of #f(x)=-10x^3#?

##### 1 Answer

Nov 6, 2017

The graph will rise towards the left and fall towards the right.

#### Explanation:

If a is the leading coefficient, and [n]* represents the degree, then if

n is an odd number (degree of 1, 3, 5, etc.)...

a[n] > 0; the graph will fall to the left and rise to the right

**a[n] < 0; the graph will rise to the left and fall to the right**

If n is an even number (degree of 2, 4, 6, etc.)...

a[n] > 0; the graph will open upwards

a[n] < 0; the graph will open downards

In this case, our degree is 3, and our leading coefficient is -10.

**-10[subscript 3] < 0; the graph will rise to the left and fall to the right.**

Hope this helps!

Best wishes,

A fellow highschool student

**[n] is meant to be a subscript.*