Decide if the function is an exponential function. If it is, state the initial value and the base.
-$$y = x ^ { 7 x }$$
A) Exponential Function; base $= 7 \mathrm { x }$; initial value $= 0$
B) Exponential Function; base $= x$; initial value $= 1$
C) Not an exponential function
D) Exponential Function; base $= x$; initial value $= 0$

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, and $a$ is the initial value. The given function $y = x^{7x}$ does not fit this form because the base, $x$, is also the variable, and the exponent is a function of $x$, making it not a standard exponential function.

Decide If the Function Is an Exponential Function y=x7xy = x ^ { 7 x }y=x7x

Decide If the Function Is an Exponential Function $y = x ^ { 7 x }$