which of the following is an exponential function?

Question

A.y=3x
B. y=2x-4
C. y=x^3
D. y=3+5^x

Answer 1

An exponential function is characterized by having a variable in the exponent. Among the options provided, the following is an exponential function:

D. y = 3 + 5^x

In this function, \(5^x\) has the variable \(x\) in the exponent, which is the defining characteristic of an exponential function.

The other options are not exponential functions:

• A. \(y = 3x\) is a linear function.
• B. \(y = 2x - 4\) is also a linear function.
• C. \(y = x^3\) is a polynomial function.