Make a new list containing the squares of all these numbers.
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Question 3
3.
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Write yes or no for each question. If yes, draw an input-output diagram. If no, give examples of two different outputs that are possible for the same input.
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Question 5
5.
A person is 5.5 feet tall. Do you know their height in inches?
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Here are the questions from the previous activity. For the ones you said yes to, write a statement like, “The height a rubber ball bounces to depends on the height it was dropped from” or “Bounce height is a function of drop height.” For all of the ones you said no to, write a statement like, “The day of the week does not determine the temperature that day” or “The temperature that day is not a function of the day of the week.”
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Question 12
12.
A person is 5.5 feet tall. Do you know their height in inches?
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Which input-output rules could describe the same function (if any)? Be prepared to explain your reasoning.
Question 20
20.
The phrase “is a function of” gets used in non-mathematical speech as well as mathematical speech in sentences like, “The range of foods you like is a function of your upbringing.” What is that sentence trying to convey? Is it the same use of the word “function” as the mathematical one?
How many different numbers are in the new list?
Question 4
4.
Explain why the two lists do not have the same number of different numbers.
Question 6
6.
A number is 5. Do you know its square?
Question 7
7.
The square of a number is 16. Do you know the number?
Question 8
8.
A square has a perimeter of 12 cm. Do you know its area?
Question 9
9.
A rectangle has an area of 16 cm^2. Do you know its length?
Question 10
10.
You are given a number. Do you know the number that is 1/5 as big?
Question 11
11.
You are given a number. Do you know its reciprocal?
Question 13
13.
A number is 5. Do you know its square?
Question 14
14.
The square of a number is 16. Do you know the number?
Question 15
15.
A square has a perimeter of 12 cm. Do you know its area?
Question 16
16.
A rectangle has an area of 16 cm^2. Do you know its length?
Question 17
17.
You are given a number. Do you know the number that is 1/5 as big?
Question 18
18.
You are given a number. Do you know its reciprocal?