Question: Treat the given nonlinear functions as linear functions in order to sketch their graphs. At times, this can be useful in showing certain values of

Treat the given nonlinear functions as linear functions in order to sketch their graphs. At times, this can be useful in showing certain values of a function. For example, y = 2 + 3x2 can be shown as a straight line by graphing y as a function of x2 . A table of values for this graph is shown along with the corresponding graph in Fig. 21.29.

X 0 x 0 y 2 1 2 3 4 5 14


4 9 16 25 5 14 29 50 77


The force F (in lb) applied to a lever to balance a certain weight on the opposite side of the fulcrum is given by F = 40/d , where d is the distance (in ft) of the force from the fulcrum. Sketch F as a function of 1/d.

X 0 x 0 y 2 1 2 3 4 5 14 4 9 16 25 5 14 29 50 77

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