Worksheet: Evaluating Functions Using Function Machines

In this worksheet, we will practice evaluating functions using function machines.

Q1:

Find the value of the function ๐‘“ ( ๐‘ฅ ) for the input given using the function machine.

Q2:

Jennifer 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.

  • A ร— 2
  • B + 3
  • C ร— 7
  • D + 7
  • E โˆ’ 7

Q3:

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

Q4:

Find the value of the function ๐‘“ ( ๐‘ฅ ) 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.

  • A ร— 2 , + 4 , โˆ’ 3
  • B โˆ’ 3 , + 4 , ร— 3
  • C + 6 , + 4 , โˆ’ 3
  • D + 8 , + 4 , โˆ’ 3
  • E ร— 3 , + 4 , โˆ’ 3

Q9:

Find the value of the function ๐‘“ ( ๐‘ฅ ) for the input given using the function machine.

Q10:

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

Q11:

Use the function machine to find the output when the input is 6.

Q12:

Use the function machine to find the input which gives an output of 2.

Q13:

Use the function machine to find the input which gives an output of 33.

Q14:

Use the function machine to find the output when the input is 5.

Q15:

Olivia draws a function machine that first multiplies by three and then adds on two. Jennifer says the function machine that first adds two and then multiplies the number by three is identical. Is Jennifer correct?

  • Ano
  • Byes

Q16:

Find the value of the function ๐‘“ ( ๐‘ฅ ) for the input given using the function machine.

Q17:

Use the function machine to find the output when the input is 7.

Q18:

Anthony has drawn a function machine with three different inputs, as seen in the figure, but he has not included any of the operations.

What are the two missing operations?

  • A ร— 2 , โˆ’ 3
  • B ร— 2 , + 3
  • C รท 2 , + 3
  • D + 3 , โˆ’ 3
  • E รท 2 , โˆ’ 3

Q19:

Find the value of the function ๐‘“ ( ๐‘ฅ ) for the input given using the function machine.

Q20:

Find the value of the function ๐‘“ ( ๐‘ฅ ) for the input given using the function machine.

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