How to Graph a Piecewise With Sine and Absolute Value

The video tutorial covers graphing regular and piecewise functions, focusing on the differences in domain constraints. It explains how to graph absolute value and sine functions, emphasizing the importance of understanding constraints in piecewise functions. The tutorial also provides resources for further study and encourages students to practice graphing these functions.

What is the main difference between regular functions and piecewise functions?

• Piecewise functions have constraints on the domain.

• Regular functions have constraints on the domain.

• Regular functions are always linear.

• Piecewise functions are always quadratic.

What is the general shape of the absolute value function?

• A sine wave

• A V-shape

• A parabola

• A straight line

How does the sine function generally appear on a graph?

• As a parabola

• As a squiggly line

• As a V-shape

• As a straight line

When graphing the absolute value function for x < 0, what should be done to the positive portion of the graph?

• Erase it

• Highlight it

• Double it

• Ignore it

For the sine function, what should be done to the graph for x ≥ 0?

• Erase the negative portion

• Erase the positive portion

• Highlight the entire graph

• Ignore the constraints