Problem

Problem

For each of the following functions

f

: - On the same set of axes, graph

y = x

,

y = f(x)

, and

y = f^{-1}(x)

. - Find

f^{-1}(x)

using coordinate geometry and the gradient of

y = f^{-1}(x)

from i. - Find

f^{-1}(x)

using variable interchange. When graphing

f

and

f^{-1}

on a calculator, choose a scale so that

y = x

appears at

45^\circ

to both axes.

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