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iGCSE (2021 Edition)

17.04 Inverse functions (Extended)

Interactive practice questions

How can a graphing utility such as a graphing calculator be used to visually determine if two functions are inverses of each other?

We can graph $y=x$y=x on the same axes as the graphs of the two functions and look to see if the graphs intersect on the line $y=x$y=x.

If they do intersect on $y=x$y=x, then they are inverses. If they don't, they are not inverses.

A

We can graph $y=x$y=x on the same axes as the graphs of the two functions and look to see one of the graphs is a reflection of the other about $y=x$y=x.

If they are reflections, then they are inverses. If they aren't reflections, they are not inverses.

B

We look to see if the graphs are reflections of each other about the $y$y-axis.

If they are, they are inverses.

C
Easy
< 1min

Examine the following graph containing two lines:

Easy
< 1min
Examine the following graph containing two lines:
Easy
< 1min
Examine the following graph containing two lines:
Easy
< 1min
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Outcomes

0607C3.6

Use of a graphic display calculator to: sketch the graph of a function, produce a table of values, find zeros, local maxima or minima, find the intersection of the graphs of functions.

0607E3.6

Use of a graphic display calculator to: sketch the graph of a function produce a table of values, find zeros, local maxima or minima, find the intersection of the graphs of functions.

0607E3.9

Inverse function f^(–1).

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