MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms
Problem
For the function f(x)=3(1.5)x, answer the following.
(i) Find the coordinates of the y-intercept.
(ii) Calculate the values of f(1) and f(−1). Write each answer as a rational number or a terminating decimal.
(iii) Identify the horizontal asymptote of the graph and state its equation.
(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.