Exploring Piecewise Functions Graphing Techniques

This video tutorial focuses on graphing piecewise functions, specifically linear ones. It explains how to graph each piece by hand, using domain spans to determine endpoints and whether to use open or closed circles. The tutorial covers three pieces of a function, demonstrating how to plot points and draw lines using slopes and intervals. The video concludes with an example for students to try on their own.

What type of functions are focused on in this lesson?

• Quadratic functions

• Logarithmic functions

• Exponential functions

• Linear functions

What symbol is used to represent a point that is not part of the domain?

• Square

• Closed circle

• Open circle

• Triangle

If an inequality is 'greater than or equal to', what type of circle is used?

• Closed circle

• Square

• Open circle

• Triangle

What is the y-coordinate of the point when x = -3 for the first piece?

• -9

• 3

• -5

• 4

What is the slope of the line for the first piece of the piecewise function?

• 4

• 3

• 2

• 1

What is the y-coordinate of the point when x = -3 for the second piece?

• 2

• 0

• 4

• -2

What is the y-coordinate of the point when x = 6 for the second piece?

• 6

• 4

• 2

• 8

What is the y-value for all x-values greater than 6 in the third piece?

• 2

• 0

• 1

• -1

What type of circle is used for the point at x = 6 in the third piece?

• Open circle

• Closed circle

• Square

• Triangle

What should you pay close attention to when graphing the new example with two pieces?

• The color of the lines

• The inequality symbols

• The type of graph paper

• The thickness of the lines