swbat… graph piecewise functions agenda 1. warm up (10 min) 2. quiz (20 min) 3. graphing (15 min)...

SWBAT… graph piecewise functions

Agenda 1. Warm Up (10 min)2. Quiz (20 min)3. Graphing (15 min)

Warm-Up:1.) Turn in HW#7 in the blue folder2.) Review your graphing linear equations

using a table of values and absolute value notes including transformations

Review PPT3: Piecewise functions

Wed, 9/28

1.) Cut a piece of graph paper into 4 squares

2.) On one graph paper square: 1. Graph x = 32. Graph y = -2

3.) On another graph paper square, graph y = x + 1

Review PPT 3: Piecewise functions


Agenda 1. Warm Up (10 min)2. Piecewise functions (35 min)

Warm-Up:1.) Cut a piece of graph paper into 6 squares2.) On one graph paper square:

1. Graph x = 32. Graph y = -2


Wed, 9/28

HW#5: Piecewise functions

Graphing Horizontal & Vertical Linesy

x

When you are asked to graph a line, and there is only ONE variable in the equation, the line will either be vertical or horizontal. For example …

Graph x = 3Since there are no y–values in

this equation, x is always 3 and y can be any other real number.

x = 3

Graph y = –2Since there are no x–values in

this equation, y is always –2 and x can be any other real number.

y = –2


Agenda 1. Warm Up (10 min)2. Piecewise functions (35 min)

Warm-Up:1.) On one graph paper square:

1. Graph x = -52. Graph y = 1


3.) On a number line graph x > 3

Thurs, 9/29

HW#5: Piecewise functions

y

x

Graph x = -5Since there are no y–values in this equation, x is always -5 and y can

be any other real number.

x = -5

Graph y = 1Since there are no x–values in this equation, y is always 1 and x can

be any other real number.

y = 1

1 2 3 4 5

1

2

3

4

5

-1

-2

-3

-4

-5

-1-2-3-4-5 0

Step 2: Look at the Step 2: Look at the y-intercept (b)y-intercept (b) and plot where the graph crosses the and plot where the graph crosses the y-axis.y-axis.

Step 3: Use the Step 3: Use the slopeslope (rise/run) to determine (rise/run) to determine the next point and the next point and plot.plot. Slope = 1 = Slope = 1 = 11//11

Step 4: Draw a line Step 4: Draw a line through both points. through both points. Be sure to extend the Be sure to extend the line and put arrows at line and put arrows at both ends. (Use a both ends. (Use a ruler!)ruler!)

y = x + 1

x

y

Step 5: Label your lineStep 5: Label your line

Step 1: Solve for yStep 1: Solve for y

Endpoints when graphing

< > ≤ ≥

Endpoints when graphing

< > ≤ ≥

Open Circle Open Circle Closed circle Closed circle

Piecewise Function A piecewise function is any function that is in, well, pieces! Piecewise functions indicate intervals for each part of the

function

1

1

x 3

3

x

xGraph f(x) =

f(x) = 1

x

y

Step 1:

Graph f(x) = 1

Step 2 :

Erase part of the graph where x >3

Step 3:

Graph f(x) = x + 1

Step 4:

Erase part of the graph where x<3

1

1

x 3

3

x

xf(x) =

f(x) = {1 x < 3

x

y

3

Step 1:

Graph f(x) = 1

Step 2 :


Step 3:Graph f(x) = x + 1

Step 4:


1

1

x 3

3

x

xf(x) =

f(x) = x + 1

x

y

Step 1:

Graph f(x) = 1

Step 2 :


Step 3:

Graph f(x) = x + 1

Step 4:


1

1

x 3

3

x

xf(x) =

f(x) = {x+1 x > 3

x

y

3

Step 1:

Graph f(x) = 1

Step 2 :


Step 3:

Graph f(x) = x + 1

Step 4:


1

1

x 3

3

x

xf(x) =

Summary of steps for our example

f(x) =

1

1

x 3

3

x

x

Step 1:

Graph f(x) = 1

Step 2 :


Step 3:

Graph f(x) = x + 1

Step 4:


More Examples

Go to the following website for more examples on graphing piecewise functions:

http://archives.math.utk.edu/visual.calculus/0/functions.13/index.html

The graph shows the monthly fee for Cell Zone. Use it to answer the following questions:

1) What is the monthly fee?

2) How many minutes are included in the monthly fee?

3) If a customer goes over the minutes included in the fee, how much will they be charged per minute ($/min)?

4) Write a function for this plan.

100 200 300 400 500 600 700 800

Peak Minutes (minutes)

80 60 40 20

Fee ($)

swbat… graph piecewise functions agenda 1. warm up (10 min) 2. quiz (20 min) 3. graphing (15 min)...

Documents