Question

Which of the following is an example of an exponential function?

A) f(x) = 4
B) f(x) = 4^x
C) f(x) = 4/x
D) f(x) = 6x?

Answer 1

The correct answer is B) f(x) = 4^x, as this is the only function among the given options that fits the definition of an exponential function, with the variable x in the exponent position.

Step-by-step explanation:

The question asks which of the given functions is an example of an exponential function. An exponential function is characterized by having a variable in its exponent, usually expressed as f(x) = b^x, where b is a constant base and x is the variable exponent. Looking at the provided options:

• f(x) = 4 is a constant function.
• f(x) = 4^x is an exponential function since it has the variable x as the exponent.
• f(x) = 4/x is an inverse variation function or a rational function, not exponential.
• f(x) = 6x is a linear function.

Hence, the correct answer among the given choices is B) f(x) = 4^x.