Math 10C Module 4: Lesson 3

Module 4: General Relations

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Lesson 3: Functions

Focus
This shows a photo of a young woman cross-country skiing in the forest.

Β© fotum/shutterstock

Fitness and medical experts agree that cross-country skiing is one of the most aerobically complete activities. Because no single muscle group is overstressed when someone is cross-country skiing, the activity can be sustained for hours. Also, most cross-country trails have flat, uphill, and downhill sections, which provide natural opportunities for exertion and recovery periods.

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When you work your body harder than usual, your heart and other body functions need to keep up with the pace. Keeping your heart pumping at an elevated rate for an extended period of time improves your heart’s capacity to pump blood efficiently and effectively. However, to get an optimum workout, it is important to pace your exercise. Too low a heart rate does not provide any substantial health benefits. Too high a heart rate can be dangerous to your health. You want your heart rate at the proper intensity level for an extended period of time.

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That is why one of the most effective methods for fitness training is through monitoring and controlling your speed and heart rate. Later in this lesson, you will explore the relationship between speed and heart rate to discover if it is a special kind of relation called a function.

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Outcomes

At the end of this lesson, you will be able to

  • explain, using examples, why some relations are not functions but all functions are relations

  • determine whether a set of ordered pairs represents a function

  • sort a set of graphs as functions or non-functions

  • generalize and explain rules for determining whether graphs and sets of ordered pairs represent functions

Lesson Questions

  • Why is it that some relations are not functions?

  • How can you tell if a relation is a function?

Lesson Completion and Assessment

As you work through each lesson, complete all the questions and learning activities in your binder using paper and pencil, clearly labeling your work (they refer to this as your course folder). These include the Are you Ready, Try This, Share and Self Check questions. Check your work if answers are provided. Remember that these questions provide you with the practice and feedback that you need to successfully complete this course.
Once you have completed all of the learning activities, take the Lesson Quiz. This is the assessment for each lesson and is located under the Assess tab or by using the Quizzes link under the Activities block.


** Note – Share questions may have to be done on your own depending on your learning situation**

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