For the function f(x)=3(1.5)x, answer the following.
a. (i) Find the coordinates of the y-intercept.
b. (ii) Calculate the values of f(1) and f(−1). Write each answer as a rational number or a terminating decimal.
c. (iii) Identify the horizontal asymptote of the graph and state its equation.
d. (iv) Sketch the curve on a clearly-labelled set of axes, marking the y-intercept, the points found in part (ii) and the horizontal asymptote.