Australia
10&10a
5.10 Hyperbolas
Interactive practice questions
Consider the function $y=\frac{1}{x}$y=1x which is defined for all real values of $x$x except $0$0.
a
Complete the following table of values.
| $x$x | $-2$−2 | $-1$−1 | $-\frac{1}{2}$−12 | $-\frac{1}{4}$−14 | $\frac{1}{4}$14 | $\frac{1}{2}$12 | $1$1 | $2$2 |
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Plot the points in the table of values.
Loading Graph...
c
Hence draw the curve.
Loading Graph...
d
In which quadrants does the graph lie?
$3$3
A
$2$2
B
$1$1
C
$4$4
D
Easy
5min
Consider the function $y=\frac{3}{x}$y=3x
Easy
2min
Consider the function $y=-\frac{1}{x}$y=−1x
Easy
3min
Consider the function $y=-\frac{1}{2x}$y=−12x
Easy
2min
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