Graphing a Piecewise Function

The video tutorial explains how to graph piecewise functions by breaking them into individual functions with constraints. It covers the basics of slope and intercept, and how to apply constraints to each function. The tutorial concludes by combining the individual graphs into a single piecewise graph, ensuring the constraints are correctly applied.

What is a piecewise function primarily composed of?

• A linear equation

• A quadratic equation

• Multiple functions with constraints

• A single continuous function

In slope-intercept form, what does the 'M' represent?

• X-intercept

• Slope

• Y-intercept

• Constant term

How is the graph of F(x) = 8 represented?

• A horizontal line

• A diagonal line

• A parabolic curve

• A vertical line

What does a constraint in a piecewise function determine?

• The range of Y values

• The type of function

• The color of the graph

• The domain of X values

When graphing a piecewise function, what does an open dot signify?

• The function is included at that point

• The function is not included at that point

• The function is continuous at that point

• The function is undefined at that point

Why must one of the dots be open when two functions meet at the same X value?

• To indicate a break in the graph

• To show a change in slope

• To ensure the graph is a function

• To highlight the Y-intercept

What happens if two closed dots exist at the same X value in a piecewise function?

• The graph becomes a straight line

• The graph is no longer a function

• The graph is unchanged

• The graph becomes a parabola