Lesson Worksheet: Function Machines Mathematics

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In this worksheet, we will practice using function machines to find the function rule and evaluating direct and inverse operations.

Q1:

Find the value of the function for the input given using the function machine.

Q2:

Elizabeth has drawn a function machine with two different inputs as seen in the figure.

Work out the missing operation that she has left out of the first box.

Q3:

Use the function machine to find the input which gives an output of 18.

Q4:

Find the value of the function for the input given using the function machine.

Q5:

Use the function machine to find the output when the input is 10.

Q6:

Use the function machine to find the output when the input is 4.

Q7:

Use the function machine to find the input which gives an output of 2.5.

Q8:

The figure shows a function machine with two different inputs and the intermittent calculations.

Determine the three missing operations.

Q9:

Find the value of the function for the input given using the function machine.

Q10:

Use the function machine to find the input which gives an output of 21.

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