Answer:
An exponential function in the form y=9(4ˣ)
Step-by-step explanation:
Step(i):-
Given that exponential function
y = a bˣ ...(i)
The equation (i) passes through the point (0,9)
9 = a (b )⁰ = a
a =9
Step(ii):-
The equation (i) passes through the point (3,576)
576 = 9(b)³
⇒ [tex]\frac{576}{9} = b^{3}[/tex]
⇒ 64 = b³
⇒ 4³ = b³
[tex](4^{3} )^{\frac{1}{3} } = (b^{3} )^{\frac{1}{3} }[/tex]
b = 4
Final answer:-
An exponential function in the form y=abˣ
An exponential function in the form y=9(4ˣ)
