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Compare Functions Written in Different Forms

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Presentation on theme: "Compare Functions Written in Different Forms"— Presentation transcript:

1 Compare Functions Written in Different Forms
Verbal, Equations, Tables and Graphs

2 Focus 6 - Learning Goal #1: Students will understand and explain the difference between functions and non-functions using graphs, equations, and tables. 4 3 2 1 In addition to level 3.0 and beyond what was taught in class, the student may: Make connection with other concepts in math. Make connection with other content areas. The student will understand and explain the difference between functions and non-functions using graphs, equations, and tables. Compare properties of a function to a non-function. The student will be able to model and evaluate functions and non-functions. Use graphs, equations, and tables to determine functions and non-functions. With help from the teacher, the student has partial success with level 2 and 3 elements. Even with help, students have no success with the functions.

3 There are many ways a function can be communicated
There are many ways a function can be communicated. Here are 4 main ways: Verbal Model: Mariah opened her savings account with $1,200. Each month she adds $50. Equation: y = x Where y represents the amount in Mariah’s account and x represents the number of months she made the deposit. Table: Graph: Months (x) Amount in account (y) $1,200 1 $1,250 2 $1,300 3 $1,350 4 $1,400 5 $1,450 Each one of these formats communicate the same information about Mariah and her savings account.

4 Compare Functions It’s hard to compare two functions when they are written in different formats. Gas mileage of Car #2. Gas mileage of Car #1 is 16 miles per gallon.

5 Compare Functions How can we determine which car has the better gas mileage? We can either graph them both or write them both as a verbal statement. It may be easier to change the graph of car #2 to a verbal statement. How many miles can car #2 go on a gallon of gas? Car #2 gets 20 miles per gallon. If car #1 gets 16 miles per gallon and car #2 gets 20 miles per gallon, which car gets the better gas mileage?

6 Kip and Joan are members at different fitness clubs…
Who has the better deal for going to the gym for only one week? Kip’s cost for 1 week = Joan’s cost for 1 week = Who has the better deal after 8 weeks of having the membership? Kip’s cost for 8 weeks = Joan’s cost for 8 weeks = Kip’s Gym Membership Joan’s membership fee is $50 then she pays $10 per week. $40 $60 $180 $130

7 Video rental LATE fees for 2 different stores.
Which store is cheaper for 2 days late? Store 1 = Store 2 = Which store is cheaper for 10 days late? Store 1 Store 2 y = 1.25x + 1 Where y is the total late fee and x is the number of days late. Days Late Fee 1 $1.50 2 $3.00 4 $4.50 5 $6.00 $3.00 $3.50 $15.00 $13.50


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