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Given the pairs of the function $f$: { (2, 4), (3, 6), (4, 8), (5, 10) } - Junior Cycle Mathematics - Question 13 - 2013
Question 13
Given the pairs of the function $f$: { (2, 4), (3, 6), (4, 8), (5, 10) }. (a) Plot the four couples. (b) The function $f$ is derived from a rule. Suggest a rule f... show full transcript
Worked Solution & Example Answer:Given the pairs of the function $f$: { (2, 4), (3, 6), (4, 8), (5, 10) } - Junior Cycle Mathematics - Question 13 - 2013
Step 1
Plot the four couples
Answer
To plot the couples, we will use the following points on the coordinate system:
- (2, 4)
- (3, 6)
- (4, 8)
- (5, 10)
- Locate the point (2, 4) on the graph. Move to 2 on the x-axis and then up to 4 on the y-axis. Mark this point.
- Next, plot the point (3, 6): move to 3 on the x-axis and then up to 6 on the y-axis. Mark this point.
- For the point (4, 8), go to 4 on the x-axis and up to 8 on the y-axis. Mark this point.
- Finally, plot the point (5, 10): go to 5 on the x-axis and up to 10 on the y-axis. Mark this point.
After plotting all points, you should visually assess if they form a straight line or a sequence that suggests a function.
Step 2
Step 3
Plot and label two other couples
Answer
To find two other couples that could be from the same rule, we can use the suggested rule :
-
For , we get: Thus, the couple is (1, 2).
-
For , we get: Thus, the couple is (6, 12).
When plotting these new points, (1, 2) and (6, 12) should also be marked on the coordinate graph.