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8-1: Linear Functions

8-1: Linear Functions. Mr. Gallo.

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8-1: Linear Functions

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  1. 8-1: Linear Functions Mr. Gallo

  2. Example 1 – Chuck is going to work after school today. If school is 5 miles north of his home and he travels to his job at a constant rate of speed of 0.5 miles per minute in a northern direction, how far from his home will he be in 5 minutes? Complete the table and graph the data on the chart below. Write the equation you would use to represent this situation: ________________

  3. Linear Functions linear • An equation whose graph is a line is called a __________ function. • Using the graph created in Example 1 the distance is a _______________ of time because how far you travel is dependent on the time . • Distance is the ________________ variable because it depends on how long you are traveling to determine the distance traveled. • Time is the ______________ variable because it determines the final answer. function dependent independent

  4. Domain and Range • Using the information from Example 1 what is the set of values used for t? _________________ • The set of the first coordinates in an ordered pair is called the ___________of the function. • List the set of coordinates of the second variable in the ordered pairs: ________________________ • These represent the values for D (distance) or the ___________ of the function. domain range

  5. Example 2- A photography studio charges $5 per sitting and an additional $3 for each print ordered. Represent the number of prints ordered by pand the cost of the prints by c. Write a function to express the cost of the prints in terms of p. Graph the function for orders of 5 to 25 prints. What is the independent variable? __________________ What is the dependent variable? __________________ What is the domain? __________________ What is the range? __________________

  6. Graph the function for orders of 5 to 25 prints:

  7. Example 3– Find the values for y by substituting -2, -1, 0, 1, and 2 in for x. Make a table and graph your results.

  8. Homework: WS 8.1 Day 2

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