Home · Unit 2 · Topic 4 · Sketching graphs

Sketching graphs

Understand and use the relationship between the graph of y = f(x) and the graphs of y = 1/f(x), y = |f(x)| and y = f(|x|).

u2-t4-s1-d2

2 interactives — choose one

Reflecting with absolute value

demo

Compare |f(x)| and f(|x|) on quadratics, cubics, trig graphs, and piecewise functions.

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Sketching y = 1/f(x)

demo

Step through sketching 1/f — asymptotes from zeros, reciprocal turning-point heights, and end behaviour.

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Want a different take?

Already have one and want another angle on this point? Describe what students should notice. Requests are read and acted on.