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Graphs

Graphs are an essential mathematical tool. They provide a visual representation of mathematical formulae and of the relationships between variables. The language of graphs is used in many areas of mathematics.

Try the following questions to refresh your memory and check your skills. If you have any difficulty follow the underlined links for further information.

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Self-Test

Questions
1. Plot the points $(2\mbox{,}\,-1)$, $(1\mbox{,}\ 0)$ and $(0\mbox{,}\ 2)$ on a Cartesian plane like the one in figure 1.

2. Which of the straight lines in figure 2 is vertical?
3. What do the arrows mean on the lines in figure 2?

4. The graph below represents a car trip near Adelaide. Describe what the car is doing.
5. Draw a graph of the straight line $y = x + 1$.

6. Draw a graph of the straight line $y = -2$.

7. Draw a graph of the relationship $C = {\large \frac{5}{9}}(F - 32)$.