Question

The function f(x) is defined below. What is the end behavior of f(a)?
f(x) = 200 – 65x + 5x2

Answer 1

The end behavior of the function f(a) = 200 - 65x + 5x^2 is that it increases without bound as x approaches both positive and negative infinity.

Step-by-step explanation:

The end behavior of a function refers to what happens to the values of the function as x approaches positive infinity or negative infinity.

To determine the end behavior of f(a) = 200 - 65x + 5x^2, we can look at the leading term, which is 5x^2. Since the leading term has a positive coefficient and an even degree, the end behavior of the function will be that it increases without bound as x approaches both positive and negative infinity.