Question

Find the long run behavior of the following functions:

1. f(x) = −5(5)² + 100.
2. g(x) = −2(²³3)ª – 11.

Answer 1

The long run behavior of the given functions depends on the presence of a variable and its exponent.

Step-by-step explanation:

To find the long run behavior of a function, we look at the highest power of the variable. In the case of the given functions:

1. The function f(x) = -5(5)^2 + 100 does not have a variable, so its long run behavior is a constant value. In this case, the function will always be equal to 100.

2. The function g(x) = -2(23)^a - 11 has the variable 'a'. Since the exponent 'a' is not a fixed value, we cannot determine the exact long run behavior without further information.

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