The diagrams A, B, C, D, E and F show six graphs of different functions.

- (a)
is inversely proportional to ,
Diagram ...
- (b)
, where is an odd integer greater than 1,
Diagram ...
- (c)
, where is an integer greater than 1.
Diagram ...
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Worked solution
6(a)
1. Identify the graph shape for inverse proportionality and match it to the diagram
If is inversely proportional to , then
For positive and , the graph is a decreasing reciprocal curve in the first quadrant, approaching both axes. This matches Diagram C.
Diagram C
6(b)
1. Identify the graph shape for $y=x^n$ with odd $n>1$ and match it to the diagram
For , where is an odd integer greater than , the graph is an increasing S-shaped curve passing through the origin, with negative -values for negative and positive -values for positive .
This matches Diagram E.
Diagram E
6(c)
1. Identify and match the exponential graph shape
For where , the graph is an increasing exponential curve with for all , and it becomes steeper as increases.
This matches Diagram B.
Diagram B
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