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

riah Follow

Uploaded on Jul 16, 2024 | 3 Views

Download Presentation

Please find below an Image/Link to download the presentation.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.

Presentation Transcript

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