Asked by Pat
which of the following is an exponential function?
A.y=3x
B. y=2x-4
C. y=x^3
D. y=3+5^x
A.y=3x
B. y=2x-4
C. y=x^3
D. y=3+5^x
Answers
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Answered by
GPT-4o mini
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.
**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.
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