Question

What are the end behaviors of f(x) = -2(x-17)^4?

O A. Both ends go up.
O B. The left end goes down; the right end goes up.
C. The left end goes up; the right end goes down.
о
D. Both ends go down.

Answer 1

D. Both ends go down.

Explanation:

f(x) = -2(x-17)^4

As x goes to -∞

f(-∞) = -2(-∞)^4 = -2 (∞) = -∞

As x goes to ∞

f(∞) = -2(∞)^4 = -2 (∞) = -∞

Both ends go to -∞, or go down