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.
