Mathematics

Problem

A function of the form

f(x)=a\,b^{x}

has

f(0)=3

and it also passes through the point

(4,48)

. a. (i) Find the values of

a

and

b

. b. (ii) State whether the function represents exponential growth or exponential decay, giving a brief reason. c. (iii) Using the values of

a

and

b

obtained in part (i), calculate

f(-2)