Provide an appropriate response.
-Give an equation of the form $\mathrm { f } ( \mathrm { x } ) = \mathrm { a } ^ { \mathrm { x } }$ to define the exponential function whose graph contains the point ( 2,9 $)$. Assume that $a 0$.
A) $f ( x ) = 3 ^ { x }$
B) $f ( x ) = 27 ^ { x }$
C) $f ( x ) = 6 ^ { x }$
D) $f ( x ) = 8 ^ { x }$

Question

Provide an appropriate response.
-Give an equation of the form $\mathrm { f } ( \mathrm { x } ) = \mathrm { a } ^ { \mathrm { x } }$ to define the exponential function whose graph contains the point ( 2,9 $)$. Assume that $a > 0$.
A) $f ( x ) = 3 ^ { x }$
B) $f ( x ) = 27 ^ { x }$
C) $f ( x ) = 6 ^ { x }$
D) $f ( x ) = 8 ^ { x }$

Quizplus · Accepted Answer

Given the point (2,9), substituting into $f(x) = a^x$ gives $9 = a^2$. Solving for $a$, we find $a = 3$, so the correct equation is $f(x) = 3^x$.

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

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