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

1 Answer

Answer:

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.