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iGCSE (2021 Edition)

4.04 Transform functions to straight lines

Interactive practice questions

State the constant of proportionality connecting $y$y and $x^2$x2 for the following graph.

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Easy
1min

State the constant of proportionality connecting $y$y and $\frac{1}{x}$1x for the following graph.

Easy
1min

State the equation of the graph in the form $y=kx^2+c$y=kx2+c.

Easy
3min

State the equation of the graph in the form $y=\frac{k}{x}+c$y=kx+c.

Easy
4min
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Outcomes

0606C1.1

Understand the terms: function, domain, range (image set), one-one function, inverse function and composition of functions.

0606C1.2B

Use the notation f ^(–1)(x).

0606C1.4

Explain in words why a given function is a function or why it does not have an inverse.

0606C1.5A

Find the inverse of a one-one function.

0606C8.2

Transform given relationships, including y = ax^n and y = Ab^x, to straight line form and hence determine unknown constants by calculating the gradient or intercept of the transformed graph.

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