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CanadaON
Grade 11

Graphs of Inverse Functions

Interactive practice questions

The graphs of a function $f$f and its inverse $f^{-1}$f1 are symmetric about which line?

$y=-x$y=x

A

$xy=1$xy=1

B

$y=x$y=x

C

$y=x^2$y=x2

D
Easy
< 1min

Consider the graph of the function $f\left(x\right)$f(x).

Easy
4min

Below we have sketched the lines $y=5x$y=5x (labelled $A$A) and $y=x$y=x.

Easy
1min

Below we have sketched the line $y=\frac{1}{2}x$y=12x (labelled $B$B) over the line $y=x$y=x (labelled $A$A).

Easy
1min
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Outcomes

11U.A.1.5

Determine the numeric or graphical representation of the inverse of a linear or quadratic function, given the numeric, graphical, or algebraic representation of the function, and make connections, through investigation using a variety of tools, between the graph of a function and the graph of its inverse

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