The true statement is f(0) = 3 and a = 3
The function is given as:
[tex]f(x) = a(2^x)[/tex]
When f(0) =2, we have:
[tex]a(2^0) =2[/tex]
This gives
[tex]a * 1 = 2[/tex]
Solve for a
[tex]a= 2[/tex]
The value of a shows that option (a) is incorrect
When f(0) = 3, we have:
[tex]a(2^0) = 3[/tex]
This gives
[tex]a * 1 = 3[/tex]
Solve for a
[tex]a = 3[/tex]
Hence, the true statement is f(0) = 3 and a = 3
Read more about exponential functions at:
https://brainly.com/question/11464095
