Consider the function f(x) = 4 x 3^0.2x.

a) Complete this table of values (rounding to 2dp if needed), then sketch the function.

x -3 -2 -1 0 1 2 3

f(x)

b) Compute the logarithm (base 10) of each of these values of f(x), and hence sketch

the function on a log-linear scale. [Hint: this should be a straight line]

c) Find the gradient and the vertical intercept of your line from part b).

d) What is the relationship between your answer to part c) and the formula for f(x)?