Hong Kong
Stage 4 - Stage 5
Graphs of Inverse Functions
Interactive practice questions
The graphs of a function $f$f and its inverse $f^{-1}$f−1 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
Less than a minute
Consider the graph of the function $f\left(x\right)$f(x).
Below we have sketched the lines $y=5x$y=5x (labelled $A$A) and $y=x$y=x.
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).
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