Compare Functions Verbal, Equations, Tables and Graphs

43210 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. Focus 6 - Learning Goal #1: Students will understand and explain the difference between functions and non-functions using graphs, equations, and tables.

There are 4 ways a function can be communicated: 1. Verbal : Mariah opened her savings account with $1,200. Each month she adds $ Equation: y = x Where y represents the amount in Mariah’s account and x represents the number of months she made the deposit. 3. Table: 4.Graph: 1. Verbal : Mariah opened her savings account with $1,200. Each month she adds $ Equation: y = x Where y represents the amount in Mariah’s account and x represents the number of months she made the deposit. 3. Table: 4.Graph: Months (x) Amount in account (y) 0$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.

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

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?  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?

Kip and Joan are members at different fitness clubs… Kip’s Gym Membership Joan’s membership fee is $50 then she pays $10 per week. 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 = $130 $180 $60 $40

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