SOLUTION: please explain: true / false True or False: f(x) = 2^x is an exponential function, but f(x) = x^2 is not. Thank you.

Algebra ->  Functions -> SOLUTION: please explain: true / false True or False: f(x) = 2^x is an exponential function, but f(x) = x^2 is not. Thank you.      Log On


   



Question 1140448: please explain: true / false
True or False: f(x) = 2^x is an exponential function, but f(x) = x^2 is not.
Thank you.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
an exponential function is one where the unknown variable is in the exponent.

2^x is an exponential function because x is part of the exponent.

x^2 is not an exponentnail function because x is not part of the exponent.

here's a reference.

https://mathbitsnotebook.com/Algebra1/FunctionGraphs/FNGTypeExponential.html

here's another.

https://www.mathsisfun.com/sets/function-exponential.html

x^2 would be considered a monomial.

here's a definition.

https://www.mathsisfun.com/definitions/monomial.html

monomials are usually parts of polynomials.

here's a definition.

https://www.mathsisfun.com/definitions/monomial.html