In this worksheet, you must find the function which turns all the inputs into their outputs.
Example:
We want to find the two operations which took 3 to 25, 5 to 35 etc.
This demands some detective work, but looking at the outputs, we see that they are all multiples of 5.
This suggests that the second operation was ×5.
Now go backwards:
25÷5 = 5 35÷5 = 7 40÷5 = 8 50÷5 = 10
Notice that these are all 2 more than input.
The function is therefore x → (x+2) × 5
Answer:
(x+2) × 5
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Teacher explanation