How to Graph a Piecewise Function With Constraints

The video tutorial covers graphing piecewise functions by combining two separate functions with constraints. It begins with an introduction to piecewise functions, followed by detailed instructions on graphing the identity and quadratic functions. The tutorial then demonstrates how to combine these functions on a single graph and apply constraints to create a piecewise function. The session concludes with a summary and a Q&A segment to address any student queries.

What is the primary characteristic of a piecewise function?

• It does not have any constraints.

• It only includes linear functions.

• It consists of multiple functions with constraints.

• It is a single continuous function.

How do you graph the identity function?

• By plotting a U-shaped curve.

• By drawing a horizontal line.

• By plotting a straight line with a slope of 1.

• By drawing a vertical line.

What shape does the graph of X^2 take?

• A straight line.

• A horizontal line.

• A U-shaped parabola.

• A V-shaped graph.

In a piecewise function, what does an open circle on the graph indicate?

• The function is continuous at that point.

• The function is undefined at that point.

• The value is not included in the function.

• The value is included in the function.

When graphing a piecewise function, what happens to the parts of the graph that do not meet the constraints?

• They are erased.

• They are doubled.

• They are highlighted.

• They are ignored.