Learn How to Graph a Piecewise Function With Three Functions

The video tutorial covers graphing techniques for different types of functions, including linear, horizontal, and quadratic functions. It explains how to convert equations into a more familiar format for easier graphing, identifies Y-intercepts and slopes, and discusses graphing with specific conditions such as open and closed circles. The tutorial also addresses the concepts of domain and range, including handling discontinuities. Finally, it demonstrates how to evaluate functions at specific points, helping students understand which function to use based on given conditions.

What is the y-intercept of the line represented by the equation y = -x - 3?

• 3

• -3

• 0

• 1

How is the line y = 1 represented on a graph?

• Vertical line

• Diagonal line

• Horizontal line

• Curved line

What shape does the graph of x^2 form?

• Parabola

• Ellipse

• Line

• Circle

When graphing a function for x-values less than zero, what should be done with values greater than zero?

• Underline them

• Circle them

• Erase them

• Highlight them

What does an open circle on a graph indicate?

• Point is included

• Point is a maximum

• Point is excluded

• Point is a minimum

Where is the point of discontinuity in the graph discussed?

• At x = -1

• At x = 1

• At x = 2

• At x = 0

Which function should be used to find f(4) based on the given conditions?

• Bottom function

• Top function

• None of the above

• Middle function