Answer:
Correct option is A.
Step-by-step explanation:
Given x increases from a to a + 2, y increases by a factor of 16.
we have to find the function for which the above statement is true.
Option A: \(y = 2(4)^x\)
\(f(x)=2(4)^x\)
⇒ \(f(a)=2(4)^a\)
⇒ \(f(a+2)=2(4)^{a+2}\)
⇒ \(f(a+2)=2(4^2)4^a\)
⇒ \(f(a+2)=16f(a)\)
⇒ When x increases from a to a + 2, y increases by a factor of 16.
Hence, option A is correct.
