Worth 1000 words
Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Printable/supporting materials Printable version Fullscreen mode Teacher notes

Taking it further

Here are some more functions for you to think about.

How would you start to sketch graphs of these functions? What are the key features you would look out for?
Is there a reasonable sketch of any of these functions in the sketch graphs from the main part of the problem?

\[\begin{align*} g(x)&=\dfrac{7}{(x+5)(x-3)}\\ & \\ h(x)&=\dfrac{5-x}{(x+1)(x-6)}\\ & \\ p(x)&=\dfrac{(x-2)^2}{(x+2)(x-4)}\\ & \\ q(x)&=\begin{cases}(6-x)(x+1) & \text{if } x <7\\ \dfrac{8}{x-8} & \text{if } x \geq 7 \end{cases}\\ & \\ r(x)&=\dfrac{x-3}{(x+1)^{2}(x-6)^{2}}\\ & \\ s(x)&=x-3+\dfrac{25-11x}{x^2-3x+5} \end{align*}\]

These functions are available as cards if you would like to try to match some of them up with the sketch graphs.

Please note that we haven’t included a set of possible input values with the equations for the functions because this is one of the things that you need to think about. In each case you should think about what the graph of the function might look like if it were sketched for all possible input values of \(x.\)

Previous Next

Thinking about Functions

Worth 1000 words Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Taking it further

Look forward

Look around

Station

Lines

Worth 1000 words
Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource