Question

What is the end behavior of the function f(x) = −x3 + 2x2 + 4x + 5?

A. Up on the left, up on the right.
B. Up on the left, down on the right.
C. Down on the left, up on the right.
D. Down on the left, down on the right.

Answer 1

The answer is Rises to the left and falls to the right so, B.
Use the degree and the leading coeeficent

Answer 2

B. Up on the left, down on the right.

Explanation:

Given : f(x) = −x³ + 2x² + 4x + 5.

TO find: What is the end behavior of the function .

Solution : We have given that

f(x) = −x³ + 2x² + 4x + 5.

By the End behavior of function : If the degree of function is odd and leading coefficient is negative then left end of graph would up on and right down on.

Therefore, B. Up on the left, down on the right.