Question

An exponential function passes through the points (−3,8) and (0,1). What is the equation of the function?

Answer 1

f(x)=y=e^x

at x=0

y=1

at x=-3

y=8

8=e^(-3)

8=1/e^3

e^3=1/8

e^3=1/(2^3)

e=1/2

therefore function is

y=1/(2^x)