Question

As x approaches infinity, which functions f(x) also approach infinity? Please select three correct answers. Select all that apply:

A - f(x) = 0.4(2x+3)(x – 5)(2x – 7)
B - f(x) = -6x(x - 1)(x+5)(+ 1)
C - f(x) = -3.(x + 7)(x -9)
D - f() = -0.7(2x - 3)(-3x – 5)
E - f(x) = (2x + 8)(x - 2)(x +9)
F - f(x) = -2.6(x+8)(2 – 9)(x+1)

Answer 1

Functions that approach infinity as x approaches infinity are A, B, and E.

Step-by-step explanation:

As x approaches infinity, the functions that also approach infinity are:

1. A - f(x) = 0.4(2x+3)(x – 5)(2x – 7)
2. B - f(x) = -6x(x - 1)(x+5)(+ 1)
3. E - f(x) = (2x + 8)(x - 2)(x +9)

These functions have terms with a positive coefficient and include a combination of x terms with no negative exponents. As x approaches infinity, the values of these functions will increase without bound.