Lesson 2: Properties of Linear Functions
Module 5: Linear Functions
Lesson 2: Properties of Linear Functions
Focus
© Outsider/shutterstock
A calorie is a unit of food energy. A meal consisting of a hamburger, a milkshake, and a large order of French fries will contain more calories than a meal consisting of a salad and a glass of water. In addition to providing energy for the function, growth, and development of cells that make up the human body, the energy provided by the calories in food is also used to support physical exercise.
Â
Elite athletes are careful to balance their intake of calories and amount of exercise. In times of intense training, an athlete may consume more calories because she knows that she will need the extra energy. An Olympic boxer or wrestler may want to lose weight or gain weight just prior to a bout in order to compete in a particular weight class. The athlete can gain or lose weight by adjusting calorie intake and the exercise regimen.
If the intensity of the exercise is constant, then a linear relationship exists between the amount of energy expended and the duration of exercise. In the previous lesson you learned to identify linear relations from graphs, tables, and situations, to name a few instances. In a previous module you also learned how to identify a relation as a function.
In Lesson 2 you will study the properties of linear functions. These properties include slope and intercepts.
Outcomes
At the end of this lesson, you will be able to
-
determine the intercepts of the graph of a linear relation, and state the intercepts as values or ordered pairs
-
determine the slope of the graph of linear relations
-
determine the domain and range of the graph of a linear relation
-
sketch a linear relation that has one intercept, two intercepts, or an infinite number of intercepts
Lesson Questions
-
How are linear functions uniquely defined by their properties?
-
How can the properties of linear functions be used to solve problems?
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 Activities block on the left in moodle or under the Assess tab.
** Note – Share questions may have to be done on your own depending on your learning situation**
Â