Functions (Edexcel GCSE Maths: Foundation)

In the diagram are two number machines.

The input for both machines is .

Find the value of  that will generate the same output value in both number machines.

A straight line has equation

Draw a number machine that will generate coordinates that line on the straight line.
Let  be the input value and  be the output value.

A second number machine is shown in the diagram.

This number machine also generates coordinates , where is the input and is the output.
These coordinates on another straight line.

The two straight lines intersect when .

Complete the second number machine.

A function is represented by the following function machine.

A number is input into the machine.
The output is used as a new input.
The second output is 11.

Work out the number that was the first input.

A number is input into the machine.
The output given is the same number.

Work out the number.

A function machine is shown below.

If the Input is 3, the Output is 5.
If the Input is 7, the Output is 25.

Use this information to fill in the two boxes.

Here is a number machine.

Complete the table.

Input	Output
	...............
...............

Here is a number machine.

The input is .

Write down an expression for the output in terms of .

Here is a number machine.

The output is  when the input is .

Complete the function machine.

Here is a number machine.

The output is when the input is .

Complete the number machine.