IM 8.5.2 Lesson: Introduction to Functions
Here are some numbers in a list:
[center][math]1,-3,-\frac{1}{2},3,2,\frac{1}{4},0.5[/math][/center][br]How many different numbers are in the list?
Make a new list containing the squares of all these numbers.
How many different numbers are in the new list?
Explain why the two lists do not have the same number of different numbers.
Say 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.
[size=150]A person is 5.5 feet tall. Do you know their height in inches?[/size]
If yes, draw the diagram like so: "input -> rule -> output". [br][br]If no, give examples of two different outputs that are possible for the same input.
[size=150]A number is 5. Do you know its square?[/size]
If yes, draw the diagram like so: "input -> rule -> output". [br][br]If no, give examples of two different outputs that are possible for the same input.
[size=150]The square of a number is 16. Do you know the number?[/size]
If yes, draw the diagram like so: "input -> rule -> output". [br][br]If no, give examples of two different outputs that are possible for the same input.
[size=150]A square has a perimeter of 12 cm. Do you know its area?[/size]
If yes, draw the diagram like so: "input -> rule -> output". [br][br]If no, give examples of two different outputs that are possible for the same input.
[size=150]A rectangle has an area of 16 cm[sup]2[/sup]. Do you know its length?[/size]
If yes, draw the diagram like so: "input -> rule -> output". [br][br]If no, give examples of two different outputs that are possible for the same input.
[size=150]You are given a number. Do you know the number that is[math]\frac{1}{5}[/math] as big?[/size]
If yes, draw the diagram like so: "input -> rule -> output". [br][br]If no, give examples of two different outputs that are possible for the same input.
[size=150]You are given a number. Do you know its reciprocal?[/size]
If yes, draw the diagram like so: "input -> rule -> output". [br][br]If no, give examples of two different outputs that are possible for the same input.
Here are the questions from the previous activity.
[size=50][size=100]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 [b]function[/b] 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.”[br][br][/size][size=150][size=100]A person is 5.5 feet tall. Do you know their height in inches?[/size][/size][/size]
[size=150][size=100]A number is 5. Do you know its square?[/size][/size]
[size=150][size=100]The square of a number is 16. Do you know the number?[/size][/size]
[size=150][size=100]A square has a perimeter of 12 cm. Do you know its area?[/size][/size]
[size=100]A rectangle has an area of 16 cm[sup]2[/sup]. Do you know its length?[/size]
[size=150][size=100]You are given a number. Do you know the number that is[math]\frac{1}{5}[/math] as big?[/size][/size]
[size=150][size=100]You are given a number. Do you know its reciprocal?[/size][/size]
Which input-output rules could describe the same function (if any)?
Explain your reasoning.
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?
IM 8.5.2 Practice: Introduction to Functions
Here are several function rules. Calculate the output for each rule when you use -6 as the input.
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[/img]
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[/img]
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[/img]
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[/img]
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[/img]
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[/img]
A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false?
[size=150]Speed is a function of time.[/size]
Explain your reasoning.
[size=150]Time is a function of distance.[/size]
Explain your reasoning.
[size=150]Speed is a function of number of students racing.[/size]
Explain your reasoning.
[size=150]Time is a function of speed.[/size]
Explain your reasoning.
Diego’s history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questions: multiple choice worth 3 points each, and essays worth 8 points each.
How many essay questions are on the test?
Explain or show your reasoning.
These tables correspond to inputs and outputs.
[img]data:image/png;base64,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[/img][br][br]Which of these input and output tables could represent a function rule?[br]
Explain or show your reasoning.