Question

Which of the graphs below would result if you made the leading term of the following function negative?

F(x) = 5x³ + x-8


A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answer 1

Answer: D

Explanation:

If the leading coefficient is negative, then as
`x \to \infty`,
`f(x) \to -\infty`.

• Eliminate A and B.

If the leading coefficient is negative, then as
`x \to -\infty`,
`f(x) \to \infty`.

• Eliminate C.

This leaves D as the correct answer.