Understanding Function Machines: Finding Inputs and Outputs

Explore the concept of function machines, where inputs are transformed into corresponding outputs using a specific rule (in this case, x2 + 1). Engage in interactive exercises to practice finding missing inputs or outputs and solving for unknown values within the function machines.

• Function Machines
• Inputs
• Outputs
• Practice
• Mathematics

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Uploaded on Jul 16, 2024 | 0 Views

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1. Finding Inputs and Outputs Finding Inputs and Outputs with Function Machines with Function Machines Silent Teacher Intelligent Practice Your Turn Narration INPUT ? OUTPUT x2 +1 INPUT OUTPUT ? x2 +1 INPUT ? OUTPUT x2 +1 INPUT OUTPUT ? Practice x2 +1

2. Worked Example Your Turn Find the output when the input is 7 Find the output when the input is 7 INPUT ? OUTPUT ?? INPUT ? OUTPUT ?? x2 +1 x2 +1 ? ? = ?? ?? + ? = ?? ? + ? = ? ? ? = ?? Find the input when the output is 7 Find the input when the output is 7 INPUT ? OUTPUT ? INPUT x2 OUTPUT x2 +1 x2 +1 ? ?.? ? ? = ? ? ?= ?.? ? ?= ? ?.? ? = ?.? @MrDraperMaths

3. Worked Example Your Turn Find the output when the input is ? Find the output when the input is ? INPUT ? OUTPUT ?? + ? INPUT OUTPUT ?? + ? x2 +1 x2 ? +1 ? ? = ?? ?? + ? ? + ? ?(? + ?) ?? + ?) Find the input when the output is ? Find the input when the output is ? INPUT OUTPUT ? INPUT OUTPUT ? x2 +1 ? ? ? ? ? ? x2 +1 ? ? ? ? ? ? ? ? ? ? @MrDraperMaths

4. In each function machine, find the missing input or output as appropriate. INPUT OUTPUT INPUT OUTPUT ? ? ? ? ? ?? INPUT INPUT OUTPUT OUTPUT ? ? ? ? ?? ? INPUT OUTPUT INPUT OUTPUT ? ? ?? ? ? ? INPUT ? OUTPUT INPUT ? OUTPUT +? ? ? ? INPUT ? OUTPUT INPUT ?? OUTPUT +? ? ? ? INPUT ? OUTPUT INPUT ?? OUTPUT ? ? ? ? INPUT ? OUTPUT INPUT ?? OUTPUT ? ? ? ? INPUT OUTPUT INPUT OUTPUT ? ? ? ? ? ?? @MrDraperMaths

5. In each function machine, find the missing input or output as appropriate. INPUT OUTPUT ? INPUT ?? OUTPUT ? ? ? ? ? ?? INPUT ?? INPUT ?? OUTPUT OUTPUT ? ? ? ? ?? ? INPUT ?? OUTPUT INPUT ?? OUTPUT ? ? ?? ? ? ? INPUT ? OUTPUT INPUT ? OUTPUT ? +? ? ? ? ?.? INPUT ? OUTPUT INPUT ?? OUTPUT +? ? ? ? ? ? INPUT ? OUTPUT INPUT ?? OUTPUT ? ? ? ? ? ? INPUT ? OUTPUT INPUT ?? OUTPUT ? ? ? ? ? ?? INPUT ? OUTPUT INPUT ?? OUTPUT ? ? ? ? ? ?? @MrDraperMaths

6. In each function machine, find an expression for the missing input, output, or part of the function machine as appropriate. INPUT OUTPUT INPUT OUTPUT ? ? ? ? ? ?? INPUT OUTPUT INPUT OUTPUT ? ? ? ? ? ? INPUT INPUT OUTPUT OUTPUT ? ? ? ? ? ? INPUT INPUT OUTPUT OUTPUT ? ? ? ? ?? ? INPUT OUTPUT INPUT OUTPUT ? ? ?? ? ? ?? INPUT OUTPUT INPUT OUTPUT ? ??? ? ?? ? ? INPUT OUTPUT INPUT OUTPUT ??? ? ? ?? ? ? @MrDraperMaths

7. In each function machine, find an expression for the missing input, output, or part of the function machine as appropriate. INPUT OUTPUT ? ? ? INPUT OUTPUT ?? ? ? ? ? ? ? ?? INPUT OUTPUT ? ? ? INPUT OUTPUT ? ? ? ? ? ? ? INPUT INPUT ? ? OUTPUT OUTPUT ? ? ? ? ? ?(? + ?) ? INPUT ?? + ? INPUT OUTPUT OUTPUT ? ? ? ? ? ?? ? INPUT OUTPUT ?? INPUT OUTPUT ?? ? ? ? ? ?? ? ? ?? INPUT OUTPUT ?? ? INPUT OUTPUT ?? ? ??? ? ?? ? ? INPUT OUTPUT ?? INPUT OUTPUT ??? ? ? ?? ? ? ?(???+ ?) @MrDraperMaths