Answer:
Option b. (0,-3)
Step-by-step explanation:
Given is an exponential function f(x) = 3·(14)ˣ
where initial value is 3 and growth rate is 14.
We can try each option and plug the x-value into it to check whether we get same y-value (as given in option) or not. If we get same y-value, then that would be solution of the exponential function.
[tex]f(-2) = 3*14^{-2} = \frac{3}{196} \\f(0) = 3*14^{0} = 3 \\f(2) = 3*14^{2} = 588 \\f(12) = 3*14^{12} = 1.700817371*10^{14}[/tex]
It is clearly visible that only (0,3) satisfies the given equation.
Hence, option B is correct, i.e. (0,3).
