Question

Proaches both positive and negative infinity? select all that apply:

a. f(x) = (5x^6 − 1)(3x^2 + 4)
b. f(x) = −4x(x^2 + 3)(x - 5)
c. f(x) = 3x^3(x^2 + 3)(x−5)
d. f(x) = 2x^2(3x - 1)(4x + 5)(x + 9)
e. f(x) = −3(4x^2 − 3)(3x - 7)(2x - 9)

Answer 1

The options that could correspond to the given conditions are a, c, and d.

Step-by-step explanation:

The options that could correspond to the given conditions are:

• a. f(x) = (5x^6 − 1)(3x^2 + 4)
• c. f(x) = 3x^3(x^2 + 3)(x−5)
• d. f(x) = 2x^2(3x - 1)(4x + 5)(x + 9)

These options have the characteristics of having a positive value at x = 3, positive slope that is decreasing in magnitude with increasing x.