Interactive practice questions
Consider the function $y=-\frac{1}{4x}$y=−14x
a
Complete the following table of values.
| $x$x | $-3$−3 | $-2$−2 | $-1$−1 | $1$1 | $2$2 | $3$3 |
|---|---|---|---|---|---|---|
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Sketch the graph.
Loading Graph...
c
In which quadrants does the graph lie?
$1$1
A
$2$2
B
$3$3
C
$4$4
D
Easy
2min
Consider the function $y=\frac{1}{x}$y=1x which is defined for all real values of $x$x except $0$0.
Easy
5min
Consider the function $y=\frac{2}{x}$y=2x
Easy
2min
Ursula wants to sketch the graph of $y=\frac{7}{x}$y=7x, but knows that it will look similar to many other hyperbolas.
What can she do to the graph to show that it is the hyperbola $y=\frac{7}{x}$y=7x, rather than any other hyperbola of the form $y=\frac{k}{x}$y=kx?
Easy
< 1min
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