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3.01 Hyperbolas

Interactive practice questions

If $y$y varies inversely with $x$x we write the equation:

$y=x^k$y=xk

A

$y=x+k$y=x+k

B

$y=kx$y=kx

C

$y=\frac{k}{x}$y=kx

D
Easy
< 1min

Consider the values in each table. Which two of them could represent an inversely proportional relationship between $x$x and $y$y?

Easy
< 1min

Consider the equation $s=\frac{375}{t}$s=375t.

Easy
1min

In the table of values below, $m$m is proportional to $\frac{1}{p}$1p.

Easy
4min
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Outcomes

1.2.1.3

use function notation, domain and range, and independent and dependent variables

1.2.3.1

examine examples of inverse proportion

1.2.3.2

recognise features of the graphs of 𝑦=1/𝑥 and 𝑦=𝑎/(𝑥−𝑏) , including their hyperbolic shapes, their intercepts, their asymptotes and behaviour as 𝑥→∞ and 𝑥→−∞

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