Exponential Function

Question

Find the exponential function f(x)=ab^x that satisfies the conditions f(0)= -2 and f(2)= -1/2.

f(x)= ___________.

Answer 1

a must be -2

b=1/2

you can derive b from b²=1/4

since at x=2 ,,,,,,-2 is divvied by 4