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Learning Objectives: SWBAT Graph a piece wise function by hand Write the equation of a piecewise function Example: Steps 1. Draw dotted line to set boundary of interval(s) for each "piece" of graph 2. Evaluate the function by the boundary value (1 for this example) 3. Your starting point to graph is the boundary value (x) and the result of the evaluation in step 3 (y) 4. Determine if the point is "open or closed" and graph the point 5. Use the slope of the equation to graph the remainder of the line. Ususally, you will be going in the negative direction. All you need is the boundary point and one other to graph the line 6. Repeat the steps for the second function (if there are 3 functions you will have 3 "pieces of graph" Your Turn Graph the following function by hand Lesson 1.6 - Graphing Piecewise Functions

Lesson 1.6 - Graphing Piecewise Functions€¦ · Lesson 1.6 - Graphing Piecewise Functions Practice: Write the equation for each of the function graphs below. 2) g eol!q qoc guq

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Page 1: Lesson 1.6 - Graphing Piecewise Functions€¦ · Lesson 1.6 - Graphing Piecewise Functions Practice: Write the equation for each of the function graphs below. 2) g eol!q qoc guq

Learning Objectives: SWBAT• Graph a piece wise function by hand• Write the equation of a piecewise function

Example:

• Steps1. Draw dotted line to set boundary of interval(s) for

each "piece" of graph2. Evaluate the function by the boundary value (1 for

this example)3. Your starting point to graph is the boundary value

(x) and the result of the evaluation in step 3 (y)4. Determine if the point is "open or closed" and graph

the point5. Use the slope of the equation to graph the

remainder of the line. Ususally, you will be going in the negative direction. All you need is the boundary point and one other to graph the line

6. Repeat the steps for the second function (if there are 3 functions you will have 3 "pieces of graph"

Your Turn• Graph the following function by hand

Lesson 1.6 - Graphing Piecewise Functions

Page 2: Lesson 1.6 - Graphing Piecewise Functions€¦ · Lesson 1.6 - Graphing Piecewise Functions Practice: Write the equation for each of the function graphs below. 2) g eol!q qoc guq

Lesson 1.6 - Graphing Piecewise FunctionsPractice: Graph the following piece wise functions

Page 3: Lesson 1.6 - Graphing Piecewise Functions€¦ · Lesson 1.6 - Graphing Piecewise Functions Practice: Write the equation for each of the function graphs below. 2) g eol!q qoc guq

Lesson 1.6 - Graphing Piecewise FunctionsPractice: Graph the following piece wise functions

Page 4: Lesson 1.6 - Graphing Piecewise Functions€¦ · Lesson 1.6 - Graphing Piecewise Functions Practice: Write the equation for each of the function graphs below. 2) g eol!q qoc guq

Lesson 1.6 - Graphing Piecewise FunctionsPractice: Graph the following piece wise functions (Advanced)

Page 5: Lesson 1.6 - Graphing Piecewise Functions€¦ · Lesson 1.6 - Graphing Piecewise Functions Practice: Write the equation for each of the function graphs below. 2) g eol!q qoc guq

Lesson 1.6 - Graphing Piecewise FunctionsPractice: Graph the following piece wise functions (Advanced)

Page 6: Lesson 1.6 - Graphing Piecewise Functions€¦ · Lesson 1.6 - Graphing Piecewise Functions Practice: Write the equation for each of the function graphs below. 2) g eol!q qoc guq

Lesson 1.6 - Graphing Piecewise FunctionsPractice (matching graphs)

Page 7: Lesson 1.6 - Graphing Piecewise Functions€¦ · Lesson 1.6 - Graphing Piecewise Functions Practice: Write the equation for each of the function graphs below. 2) g eol!q qoc guq

Lesson 1.6 - Graphing Piecewise FunctionsPractice: Write the equation for each of the function graphs below