Graphing Piecewise Functions Concepts

The video tutorial explains how to graph piecewise functions by understanding the rules and constraints. It covers graphing the equation Y = 1/2X for X values less than zero, using an open circle to represent this constraint. It also explains graphing the equation Y = 2 for X values greater than or equal to zero, using a filled circle. The tutorial emphasizes the importance of correctly interpreting inequalities and using appropriate graphing techniques.

What is the first step in graphing a piecewise function?

• Calculating the derivative

• Drawing a straight line

• Understanding the rules and constraints

• Plotting random points

For the equation y = 1/2x, which x values are considered?

• x = 0

• x > 0

• x ≥ 0

• x < 0

In the slope-intercept form, what is the y-intercept of y = 1/2x?

• 1

• 0

• 2

• 1/2

How do you graph y = 1/2x to the left?

• Down two, left one

• Up two, right one

• Down one, left two

• Up one, right two

What is the slope of the line y = 1/2x?

• 1

• 1/2

• 2

• 0

How do you determine the direction to graph y = 1/2x?

• By the color of the line

• By the slope

• By the x values

• By the y-intercept

What type of circle is used for x values less than zero?

• Filled circle

• Open circle

• Dashed circle

• Solid circle

For the equation y = 2, which x values are considered?

• x ≥ 0

• x > 0

• x = 0

• x < 0

What type of circle is used for x values greater than or equal to zero?

• Solid circle

• Filled circle

• Dashed circle

• Open circle

What is the y-value for the equation y = 2?

• 3

• 2

• 1

• 0