5 Minute Check Draw and complete each function table on the back of your homework x3x + 5y xx - 4y x x + 2y x2x + 4y

5 Minute Check Draw and complete each function table on the back of your homework. 1. x3x + 5y 0 3 9

5 Minute Check Draw and complete each function table on the back of your homework. 1. x3x + 5y 0 3(0) (3) (9)

5 Minute Check Draw and complete each function table on the back of your homework. 2. xx - 4y

5 Minute Check Draw and complete each function table on the back of your homework. 2. xx - 4y

5 Minute Check Draw and complete each function table on the back of your homework. 3. x x + 2y 2 3 8

5 Minute Check Draw and complete each function table on the back of your homework. 3. x x + 2y

5 Minute Check Draw and complete each function table on the back of your homework. 4. x2x + 4y

5 Minute Check Draw and complete each function table on the back of your homework. 4. x2x + 4y 7 2(7) (9) (15)+4 34

Flashcards

Friday, Jan 17 Chapter 8.2 Function Rules

Objective: To find function rules and algebraic equations for tables.

Function Rules At the end of this lesson you should be able to answer the following question. What is the difference between function rule and an algebraic equation?

Function Rules Sometimes we have a function table with only the input and output values. (If a function rule is not included in the table sometimes it is written horizontally. ) Input (x) 1234 Output(y)

Function Rules Can we find a function rule that would describe the relationship between the x values and the y values? (Reminder-The function rule only has an x variable) Input (x) 1234 Output(y)

Function Rules What operations can we use to go from 1 to 8? Input (x) 1234 Output(y)

Function Rules What operations can we use to go from 1 to 8? Since the second number is larger, we can only use multiplication and/or addition. Input (x) 1234 Output(y)

Function Rules How can we go from 1 to 8? 1 + ? = 8 Input (x) 1234 Output(y)

Function Rules How can we go from 1 to 8? = 8 or Input (x) 1234 Output(y)

Function Rules How can we go from 1 to 8? = 8 or 1 x ? = 8 Input (x) 1234 Output(y)

Function Rules How can we go from 1 to 8? = 8 or 1 x 8 = 8 To determine which operation is correct apply both equation to the second set of numbers. Input (x) 1234 Output(y)

Function Rules How can we go from 2 to 16? Does = 16? Input (x) 1234 Output(y)

Function Rules How can we go from 2 to 16? Does 2 x 8 = 16? Input (x) 1234 Output(y)

Function Rules It appears the x values are multiplied by 8 to get the y values. What is the function rule? Input (x) 1234 Output(y)

Function Rules It appears the x values are multiplied by 8 to get the y values. What is the function rule? 8x 8 times the x value would equal the corresponding y value. Input (x) 1234 Output(y)

Function Rules Sometimes the table is not written and only an equation describes the relationship between x and y. To convert a function rule to an equation set the function rule equal to y. e.g. y = 8x Input (x) 1234 Output(y)

Function Rules The equation to describe a function table will always have the “y” variable on the left side of the equation. The “x” variable will always be on the right side of the equation. e.g. y = 5x y = x + 4

Function Rules If x equals the number of terms, what would y equal on the 10 th term? y = 8x Input (x) 1234 Output(y)

Function Rules If x equals the number of terms, what would y equal on the 10 th term? y = 8 (10) = 80 y = 8x Input (x) 1234 Output(y)

Function Rules Write an equation to describe the table. Do this on your own. Input (x) 1234 Output(y) 4567

Function Rules Write an equation to describe the table. y = x + 3 Input (x) 1234 Output(y) 4567

Function Rules If x equals the number of terms, what would y equal on the 18 th term? y = x + 3 Input (x) 1234 Output(y) 4567

Function Rules If x equals the number of terms, what would y equal on the 18 th term? y = x + 3 y = = 21 Input (x) 1234 Output(y) 4567

Function Rules Write an equation to describe the table. Do this on your own. Input (x) 5678 Output(y) 1234

Function Rules Write an equation to describe the table. y = x - 4 Input (x) 5678 Output(y) 1234

Function Rules Write an equation to describe the table. Do this on your own. Input (x) 0123 Output(y) 46810

Function Rules Write an equation to describe the table. y = 2x + 4 Input (x) 0123 Output(y) 46810

Function Rules In a week there are 7 days. Make a table, with a function rule, that relates the number of days to the number of weeks for 1, 5, and10 weeks. Then find how many days are in 27 weeks. Do this on your own.

Function Rules In a week there are 7 days. Make a table, with a function rule, that relates the number of days to the number of weeks for 1, 5, and10 weeks. Then find how many days are in 27 weeks. Weeks(x)7xDays(y) 11 x x x x 7189

Function Rules The table shows the number of necklaces that Ari can make, based on the number of hours she works. Write a function rule to find the number of necklaces she can make in x hours. Do this on your own. Hours (x)Number of Necklaces(y) x

Function Rules The table shows the number of necklaces that Ari can make, based on the number of hours she works. Write a function rule to find the number of necklaces she can make in x hours. The function rule is 2x + 3 Check: Row 1: 2(1) + 3 = 5 Row 2: 2(2) + 3 = 7 Row 3: 2(3) + 3 = 9 Hours (x)Number of Necklaces(y) x

Function Rules What is the difference between function rule and an algebraic equation?

Function Rules Agenda Notes Homework – Homework Practice 8-2 Due Tuesday, Jan 21 Mid-Chapter 8 Quiz –Thursday, Jan 23