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Functions - Mapping
State whether each relation represents a function.
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Functions - Mapping\newlineState whether each relation represents a function.\newline11)\newline22)\newline33)\newline44)\newline55)\newline66)

Full solution

Q. Functions - Mapping\newlineState whether each relation represents a function.\newline11)\newline22)\newline33)\newline44)\newline55)\newline66)
  1. Check Inputs and Outputs: Look at relation 11 to see if each input has only one output.
  2. Verify Unique Outputs: Check if any input value is paired with more than one output in relation 11.
  3. Repeat for Relation 22: If relation 11 has unique outputs for every input, it's a function. If not, it's not a function.
  4. Determine Functionality: Repeat the process for relation 22.
  5. Inspect Relation 33: Check for unique outputs for every input in relation 22.
  6. Verify Uniqueness: Determine if relation 22 is a function based on the outputs.
  7. Examine Relation 44: Continue with relation 33, looking for unique outputs for each input.
  8. Check for Multiples: Verify if relation 33 has more than one output for any input.
  9. Analyze Relation 55: Decide if relation 33 is a function.
  10. Conclude Functionality: Move on to relation 44 and check for unique outputs for each input.
  11. Inspect Relation 66: Look for any input in relation 44 that has multiple outputs.
  12. Verify Pairings: Figure out if relation 44 is a function.
  13. Count Function Relations: Examine relation 55 for unique outputs for every input.
  14. Error in Counting: Check if relation 55 has any input with more than one output.
  15. Error in Counting: Check if relation 55 has any input with more than one output. Conclude if relation 55 is a function.
  16. Error in Counting: Check if relation 55 has any input with more than one output. Conclude if relation 55 is a function. Finally, inspect relation 66 for unique outputs for each input.
  17. Error in Counting: Check if relation 55 has any input with more than one output. Conclude if relation 55 is a function. Finally, inspect relation 66 for unique outputs for each input. See if any input in relation 66 is paired with multiple outputs.
  18. Error in Counting: Check if relation 55 has any input with more than one output. Conclude if relation 55 is a function. Finally, inspect relation 66 for unique outputs for each input. See if any input in relation 66 is paired with multiple outputs. Determine if relation 66 is a function.
  19. Error in Counting: Check if relation 55 has any input with more than one output. Conclude if relation 55 is a function. Finally, inspect relation 66 for unique outputs for each input. See if any input in relation 66 is paired with multiple outputs. Determine if relation 66 is a function. Count the number of relations that are functions.
  20. Error in Counting: Check if relation 55 has any input with more than one output. Conclude if relation 55 is a function. Finally, inspect relation 66 for unique outputs for each input. See if any input in relation 66 is paired with multiple outputs. Determine if relation 66 is a function. Count the number of relations that are functions. Make a mistake in counting the number of functions.

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