Need help with this question

Answer:
as below
Step-by-step explanation:
table x y
0 , 3
1 , 15
2 , 75
3 , 375
f(x) = a[tex]b^{x}[/tex] when x = zero then what ever b = is going to be 1
so it's a*1=3 so a must be 3
next we know that when x = 1 then 3*b=15
b/ct anything raised to the power of one is it self... so
3*5=15 b=5 check the answer
3*[tex]5^{2}[/tex]=75
3*[tex]5^{3}[/tex]=375
this looks right b = 5