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Topic 47 · lesson 5 of 7

Graphs Of Higher Order Direct Relationships

Clear explanations and worked examples from the Math-Mate school maths textbook.

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Graphs Of Higher Order Direct Relationships

This takes some common sense.  For instance, for Mathematical diagram, we’d expect the graph to pass through the origin, and as it heads to the right get higher and higher, at a faster and faster rate.  Also, as you head to the left of the y-axis, you’d expect it to get higher and higher as well:

Mathematical diagram

Mathematical diagram however is a little bit different.  Going right from the x-axis, we’d expect the line to get higher and higher and the slope to get steeper and steeper.  However, in the negative x region, the line’s actually going to be below the x-axis, because when you cube a negative number the negative sign stays there in your answer.  So going to the left of the y-axis, the line’s going to get more and more negative and the slope’s going to get steeper and steeper:

Mathematical diagram