Decide if the function is an exponential function. If it is, state the initial value and the base.
-$$y = x ^ { 4.7 }$$
A) Exponential Function; base $= 4.7$; initial value $= 0$
B) Exponential Function; base $= x$; initial value $= 1$
C) Exponential Function; base $= x$; initial value $= 0$
D) Not an exponential function

Question

Quizplus · Accepted Answer

An exponential function is defined as a function of the form $f(x) = ab^x$, where $b$ is a positive constant base (not equal to 1), $a$ is the initial value, and $x$ is the exponent. The given function $y = x^{4.7}$ does not fit this form because the base is variable (x) and the exponent is constant (4.7), which is the opposite of the required form for an exponential function. Therefore, it is not an exponential function.

Decide If the Function Is an Exponential Function y=x4.7y = x ^ { 4.7 }y=x4.7

Decide If the Function Is an Exponential Function $y = x ^ { 4.7 }$