Question

Suppose f is a function which follows this pattern, where x and h are any numbers: f(a + h) = f(a)*f(h) Which type of function is f?

Answer 1

The function f is an exponential function.

Step-by-step explanation:

The given pattern, f(a + h) = f(a) * f(h), represents an exponential function. In an exponential function, the value of the function at a specific input is equal to the product of the value at another input and a constant factor. In this case, the constant factor is the function evaluated at 0, f(0).

For example, let's define f(0) = k, where k is some constant. Then, we can rewrite the given pattern as f(a + h) = f(0) * f(h). This is the general form of an exponential function.

Some common examples of exponential functions include f(x) = a^x (where a is a constant) and f(x) = e^x (where e is Euler's number approximately equal to 2.71828).