Provide an appropriate response.
-Give an equation of the form $f ( x ) = a ^ { x }$ to define the exponential function whose graph contains the point $( 3,216 )$. Assume that a $ 0$.
A) $f ( x ) = 729^ x$
B) $f ( x ) = 46,656 ^ { x }$
C) $f ( x ) = 6 ^ { x }$
D) $f ( x ) = 18 ^ { x }$

Question

Provide an appropriate response.
-Give an equation of the form $f ( x ) = a ^ { x }$ to define the exponential function whose graph contains the point $( 3,216 )$. Assume that a $> 0$.
A) $f ( x ) = 729^ x$
B) $f ( x ) = 46,656 ^ { x }$
C) $f ( x ) = 6 ^ { x }$
D) $f ( x ) = 18 ^ { x }$

Quizplus · Accepted Answer

Given the point (3,216), we can substitute these values into the equation $f(x) = a^x$ to find $a$. Substituting $x = 3$ and $f(x) = 216$, we get $216 = a^3$. Taking the cube root of both sides gives $a = 6$. Therefore, the correct equation is $f(x) = 6^x$.

Provide an Appropriate Response f(x)=axf ( x ) = a ^ { x }f(x)=ax

Provide an Appropriate Response $f ( x ) = a ^ { x }$