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Rule B takes a person's name as its input, and gives their birthday as the output. Rule P takes a date as its input and gives a person with that birthday as the output. REQUIRED 1 19. If you use your name as the input to Rule B, how many outputs are possible? a. No outputs b. Only 1 output c. More than 1 output d. There is not enough information. REQUIRED 1 20. If you use your birthday as the input to Rule P, how many outputs are possible? a. No outputs b. Only 1 output c. More than 1 output d. There is not enough information. REQUIRED 1 21. Which rule is a function? a. Rule B b. Rule P c. There is not enough information.

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The final answers are:

19. b. Only 1 output

b. Only 1 output

c. There is not enough information. (Since both Rule B and Rule P appear to be functions based on the given information.)

Let's analyze the given information:

Rule B takes a person's name as its input and gives their birthday as the output.

Rule P takes a date as its input and gives a person with that birthday as the output.

Now, let's answer the questions:

Question 19: If you use your name as the input to Rule B, how many outputs are possible?

Answer: The question states that Rule B takes a person's name as input. If we assume that each person has a unique name, then Rule B should have only one output for each input (each person's name). Therefore, the answer is b. Only 1 output.

Question 20: If you use your birthday as the input to Rule P, how many outputs are possible?

Answer: Rule P takes a date as input and gives a person with that birthday as the output. If we assume that each date corresponds to only one person's birthday, then Rule P should have only one output for each input (each date). Therefore, the answer is b. Only 1 output.

Question 21: Which rule is a function?

Answer: A function is a relation in which each input is associated with exactly one output. Based on the information provided:

Rule B takes a person's name and gives their birthday (assuming each person has a unique name).

Rule P takes a date and gives a person with that birthday.

Both rules seem to be functions, as each input corresponds to only one output. Therefore, the answer is both Rule B and Rule P are functions.

So, the final answers are:

19. b. Only 1 output

b. Only 1 output

c. There is not enough information. (Since both Rule B and Rule P appear to be functions based on the given information.)

User TonyG
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