(a) Consider f(x)=3+2(1/3)^(-2x)

(i) Bring to the form of f(x)=ab^(x)+k use properties of exponents.

(ii) What is the initial value?

(iii) Is it the exponential growth or decay function?

(iv) State the domain and range.

(v) Sketch the graph.

(b) Find an equation of a function f passing through points (1, 1) and (2, 3) if (i) fis a linear function.

(ii) f is an exponential function. Round your results to two decimal places.