Provide an appropriate response.
-Give an equation of the form $f ( x ) = a ^ { x }$ to define the exponential function whose graph contains the point $( 2,16 )$. Assume that $a 0$.
A) $f ( x ) = 16 ^ { x }$
B) $f ( x ) = 8 ^ { x }$
C) $f ( x ) = 4 ^ { x }$
D) $f ( x ) = 256 ^ { x }$

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 $( 2,16 )$. Assume that $a > 0$.
A) $f ( x ) = 16 ^ { x }$
B) $f ( x ) = 8 ^ { x }$
C) $f ( x ) = 4 ^ { x }$
D) $f ( x ) = 256 ^ { x }$

Quizplus · Accepted Answer

Given the point (2,16), we substitute into the equation $f(x) = a^x$ to get $16 = a^2$. Solving for $a$, we find $a = 4$, so the correct equation is $f(x) = 4^x$.

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

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