Transcript 11-21 PPT

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
2.
Position(n)
1
2
3
Value of Term
2
4
6
3.
Position(n)
3
4
5
Value of Term
12
13
14
4.
Position(n)
5
6
7
Value of Term
3
4
5
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.
Position(n)
1
2
3
Value of Term
5
6
7
n+4
n = 12
12 + 4 = 16
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
2
4
6
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
2
4
6
2n
n = 12
2 · 12 = 24
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.
Position(n)
3
4
5
Value of Term
12
13
14
n+9
n = 12
12 + 9 = 21
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
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
n-2
n = 12
12 – 2 = 10
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 yvariable 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
0
0
1
2
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
0
0
1
2
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
0
1
2
y
0
2
4
Function and Equations
Graph y = 2x.
This is a linear graph since it is a straight line.
x
0
1
2
y
0
2
4
Function and Equations
Graph y = x + 1.
Do this on your own.
Function and Equations
Graph y = x + 1.
x
0
1
2
y
1
2
3
Function and Equations
Graph y = 3x + 2.
Do this on your own.
Function and Equations
Graph y = 3x + 2.
x
0
1
2
y
2
5
8
Function and Equations
Graph y = x²
Do this on your own.
Function and Equations
Graph y = x²
x
0
1
2
3
y
0
1
4
9
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
0
1
2
y
3
4
5
Function and Equations
Find the equation for the graph.
Function and Equations
Find the equation for the graph.
y = 10x
x
0
1
2
y
0
10
20
Function and Equations
Find the equation for the graph.
Function and Equations
Find the equation for the graph.
y = 3x + 2
x
0
1
2
y
2
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
0
2
4
y
0
1
2
Function and Equations
Find the equation for the graph.
Function and Equations
Find the equation for the graph.
y = x + 0.5
x
0
1
2
y
0.5
1.5
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?
𝑥
y=
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