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In this activity, we will be finding the function that turns all the inputs into their outputs.
Example:
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We want to find the two operations that took 3 to 25, 5 to 35 etc.
This demands some detective work!
Looking at the outputs, we see that they are all multiples of 5.
This suggests that the second operation was x5
Now go backwards:
25 ÷ 5 = 5
35 ÷ 5 = 7
40 ÷ 5 = 8
50 ÷ 5 = 10
Notice that these are all 2 more than the input.
The function is therefore x → (x + 2) × 5
Answer:
(x + 2) × 5
Are you ready to have a go at some questions now?
