Question

What is the end behavior of the function f (20) = 2e?? Select the two correct answers. (1 point) As x approaches negative infinity, f (x) approaches 0. As c approaches infinity, f (x) approaches negative infinity. As c approaches negative infinity, f (x) approaches infinity. As c approaches infinity, f (x) approaches infinity. As c approaches infinity, f (x) approaches 0.

Answer 1

For the function f(x) = 2e, as x approaches negative infinity, f(x) approaches 0; as x approaches infinity, f(x) approaches infinity. These are the two end behaviors for this exponential function.

Step-by-step explanation:

The end behavior of the function f(x) = 2e refers to what happens to f(x) as x approaches infinity or negative infinity. For this type of function, as x approaches negative infinity, the value of f(x) approaches zero.

This is because the base of the exponential function, e, is a positive number and any power of e will also be positive and get closer to zero for negative exponents of large magnitude.

Conversely, as x approaches infinity, the value of f(x) also approaches infinity because exponential functions grow without bound as the exponent increases.

Therefore, the correct statements regarding the end behavior of function f(x) = 2e are: As x approaches negative infinity, f(x) approaches 0 and as c approaches infinity, f(x) approaches infinity.