Interpret the graphs of direct and inverse proportion relationships
Direct Proportion
y = kx
On a graph this is just a straight line where k is the gradient.
Direct Proportion with powers: y = kx^{n}
You should be familiar with the following graphs from your GCSE Maths algebra worksheets.
y = x^{2}
Notice what happens as you k gets bigger:
y = x^{3}
Notice what happens when k gets bigger:
Indirect Proportion
y = k/x
You should be familiar with the following graphs
y = 1/x
Notice what happens if k gets bigger:
Inverse Proportions with powers:
y = 1/x^{2}
Notice what happens if k increases:
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