Question

Which function, f(x), increases without bound as x approaches negative and positive infinity? select all that apply. select all that apply:

A. f(x)=−2(x 4)(x−3)
B. f(x)=4x(x 1)(x 1)(x 2)
C. f(x)=−1.9(x 5)(x−7)(2x 1)
D. f(x)=(3x 1)(2x−3)(x 7)(x−3)
E. f(x)=−3x2(4x−1)(3x 1)(x 3)(x 2)

Answer 1

The function that increases without bound as x approaches negative and positive infinity is the one that has a positive leading coefficient and the highest power of x.

Step-by-step explanation:

The function that increases without bound as x approaches negative and positive infinity is the one that has a positive leading coefficient and the highest power of x.

After analyzing the given options, f(x)=4x(x+1)(x+1)(x+2) is the correct answer because it has a positive leading coefficient (4) and the highest power of x (x^3), which means it increases without bound as x approaches negative and positive infinity.