Question

For exponential functions of the form f(x) = a^x, which of the following expressions is equal to f(1) • f(2)?

A) f(1^2)
B) f(1 + 2)
C) f(1 - 2)
D) f(2)^1

Answer 1

The expression that is equal to f(1) • f(2) for an exponential function is f(2)^1, which is equivalent to f(1) • f(2).

Step-by-step explanation:

To find the value of f(1) • f(2) for an exponential function of the form f(x) = a^x, we substitute the values of 1 and 2 into the function. Therefore, we have:

f(1) = a^1 = a

f(2) = a^2 = a • a = a^1 • a

Putting it all together, f(1) • f(2) = a • a = a^2.

So, the correct expression is D) f(2)^1. This is equivalent to f(1) • f(2).