5 Minute Check Find the function rule and the value of the 12th term. Complete in your notebook. 1. 2. 3. 4. Position(n) 1 2 3 Value of Term 5 6 7 Position(n) 1 2 3 Value of Term 4 6 Position(n) 3 4 5 Value of Term 12 13 14 Position(n) 5 6 7 Value of Term 3 4

5 Minute Check Find the function rule and the value of the 12th term. Complete in your notebook. 1. Position(n) 1 2 3 Value of Term 5 6 7

5 Minute Check Find the function rule and the value of the 12th term. Complete in your notebook. 1. n + 4 n = 12 12 + 4 = 16 Position(n) 1 2 3 Value of Term 5 6 7

5 Minute Check Find the function rule and the value of the 12th term. Complete in your notebook. 2. Position(n) 1 2 3 Value of Term 4 6

5 Minute Check Find the function rule and the value of the 12th term. Complete in your notebook. 2. 2n n = 12 2 · 12 = 24 Position(n) 1 2 3 Value of Term 4 6

5 Minute Check Find the function rule and the value of the 12th term. Complete in your notebook. 3. Position(n) 3 4 5 Value of Term 12 13 14

5 Minute Check Find the function rule and the value of the 12th term. Complete in your notebook. 3. n + 9 n = 12 12 + 9 = 21 Position(n) 3 4 5 Value of Term 12 13 14

5 Minute Check Find the function rule and the value of the 12th term. Complete in your notebook. 4. Position(n) 5 6 7 Value of Term 3 4

5 Minute Check Find the function rule and the value of the 12th term. Complete in your notebook. 4. n - 2 n = 12 12 – 2 = 10 Position(n) 5 6 7 Value of Term 3 4

Lesson 6.8.3 Functions and Equations Friday, Nov 21 Lesson 6.8.3 Functions and Equations

Flashcards

Flashcards

Flashcards

Flashcards

Function and Equations Objective: Construct and analyze different verbal, graphical and algebraic representations of functions. You will need your graph paper for today’s lesson.

Function and Equations Find the function rule.

Function and Equations Find the function rule. 9x

Function and Equations Find the function rule. 9x We can write this function rule as the following equation: y = 9x

Function and Equations Find the function rule. y = 9x These equations will always have the y- variable on the left side and the x-variable on the right side. (it may have addition constants on the right side)

Function and Equations Write an equation to represent the function shown in the table. Do this on your own.

Function and Equations Write an equation to represent the function shown in the table. y = 16x

Function and Equations Write an equation to represent the function shown in the table. Do this on your own.

Function and Equations Write an equation to represent the function shown in the table. y = x + 3

Function and Equations Equations can also be graphed on a coordinate plane. When graphing the function, the input is the x-coordinate and the output is the y-coordinate.

Function and Equations A linear function is a function when graphed is a straight line.

Function and Equations Graph y = 2x. How to Graph an Equation. Step 1 – Create a table with the x-values and y-values. Since we are not given the values for x, we start at zero (since the x-axis starts at zero) and increase by whole numbers. The table should contain at least 3 values for x.

Function and Equations Graph y = 2x. How to Graph an Equation. Step 1 – Create a table with the x-values and y-values. x y 1 2 4

Function and Equations Graph y = 2x. How to Graph an Equation. Step 2 – Graph each ordered pair and connect all points with a line. x y 1 2 4

Function and Equations Graph y = 2x. How to Graph an Equation. Step 2 – Graph each ordered pair and connect all points with a line. x y 1 2 4

Function and Equations Graph y = 2x. This is a linear graph since it is a straight line. x y 1 2 4

Function and Equations Graph y = x + 1. Do this on your own.

Function and Equations Graph y = x + 1. x y 1 2 3

Function and Equations Graph y = 3x + 2. Do this on your own.

Function and Equations Graph y = 3x + 2. x y 2 1 5 8

Function and Equations Graph y = x² Do this on your own.

Function and Equations Graph y = x² 3 9 x y 1 2 4

Function and Equations Find the equation for the graph. Hint – make a list of ordered pairs first.

Function and Equations Find the equation for the graph. y = x + 3 x y 3 1 4 2 5

Function and Equations Find the equation for the graph.

Function and Equations Find the equation for the graph. y = 10x x y 1 10 2 20

Function and Equations Find the equation for the graph.

Function and Equations Find the equation for the graph. y = 3x + 2 x y 2 1 5 ?

Function and Equations Find the equation for the graph.

Function and Equations Find the equation for the graph. y = x ÷ 2 or y = x/2 x y 2 1 4

Function and Equations Find the equation for the graph.

Function and Equations Find the equation for the graph. y = x + 0.5 x y 0.5 1 1.5 2 2.5

Function and Equations Marcus constructed the graph shown, which shows the height of his cactus after several years of growth. Make a function table for the input-output values and write an equation to represent the graph. Do this on your own.

Function and Equations Marcus constructed the graph shown, which shows the height of his cactus after several years of growth. Make a function table for the input-output values and write an equation to represent the graph. y = 2x + 40

Function and Equations The graph shows the number of inches of rainfall (x) equivalent to inches of snow (y). Make a function table and find the equation to represent the graph. Do this on your own.

Function and Equations The graph shows the number of inches of rainfall (x) equivalent to inches of snow (y). Make a function table and find the equation to represent the graph. y = 10x

Function and Equations Words and equations can be used to describe functions. For example, when a rate is expressed in words, it can be written as an equation with variables.

Function and Equations When you write an equation, determine what variables are to be used to represent the different quantities.

Function and Equations e.g. A person’s total weekly pay is equal to $10 per hour times the number of hours. Let p = pay, h = hours p = 10h

Function and Equations The band is holding a car wash. They are charging $6 for each car they wash. Write an equation to find the total amount earned t for washing c cars. Can we write this as an equation?

Function and Equations The band is holding a car wash. They are charging $6 for each car they wash. Write an equation to find the total amount earned t for washing c cars. The total amount earned would $6 times the number of cars washed. t = $6c

Function and Equations In a report, Michelle reads the average adult watches 4 hours of television each day. Write an equation to find the total hours of television t in days d. Do this on your own.

Function and Equations In a report, Michelle reads the average adult watches 4 hours of television each day. Write an equation to find the total hours of television t in days d. t = 4d

Function and Equations The student council is holding a car wash to raise money. They are charging $7 for each car they wash. Make a function table (for 1,2,3 & 4 cars) and write an equation to describe the relationship between the cars washed c and the total amount earned t. Do this on your own.

Function and Equations The student council is holding a car wash to raise money. They are charging $7 for each car they wash. Make a function table (for 1,2,3 & 4 cars) and write an equation to describe the relationship between the cars washed c and the total amount earned t. t = 7c

Function and Equations The student council is holding a car wash to raise money. They are charging $7 for each car they wash. Make a function table (for 1,2,3 & 4 cars) and write an equation to describe the relationship between the cars washed c and the total amount earned t. t = 7c Graph the ordered pairs.

Function and Equations The student council is holding a car wash to raise money. They are charging $7 for each car they wash. Make a function table (for 1,2,3 & 4 cars) and write an equation to describe the relationship between the cars washed c and the total amount earned t. t = 7c Graph the ordered pairs. (1,7), (2,14), (3, 21), (4, 28)

Function and Equations Maurice receives $3 per week for allowance and earns an additional $1.75 for each chore he completes. Write an equation to represent the total amount earned (t) for chores (c) in one week. Graph the ordered pairs. How much will he earn if he completes 5 chores in one week? Do this on your own.

Function and Equations Maurice receives $3 per week for allowance and earns an additional $1.75 for each chore he completes. Write an equation to represent the total amount earned (t) for chores (c) in one week. Graph the ordered pairs. How much will he earn if he completes 5 chores in one week? t = $3 + $1.75c If c = 5, t = $3 + $1.75 · 5 = $3 + $8.75 = $11.75

Function and Equations What equation represents the following table?

Function and Equations What equation represents the following table? y = 𝑥 2 - 3 y = (x ÷ 2) - 3

Function and Equations Agenda Notes No Homework – Homework Practice 6.8.3 Due at the end of the period Mid-Chapter 6.8 Quiz – Tuesday, Nov 25