Graphing a Piecewise Function With Horizontal Transformations

The video tutorial covers graph transformations, including shifting and reflection, and explains how to handle constraints by erasing parts of graphs. It also discusses combining graphs with holes and evaluating functions at specific points.

What happens to a graph when it is shifted to the right?

• It moves down.

• It moves up.

• It moves to the right.

• It moves to the left.

Which of the following describes a constraint where X is greater than one?

• X is less than or equal to one.

• X is less than one.

• X is greater than or equal to one.

• X is greater than one.

How do you handle a graph with a hole when combining graphs?

• Erase the hole.

• Ignore the hole.

• Include the hole in both graphs.

• Include the hole in at least one graph.

What is the significance of a point being included in one graph but not the other?

• It is fine as long as it is included in at least one graph.

• It should be excluded from both graphs.

• It can be ignored.

• It must be included in both graphs.

When evaluating functions, which of the following is a valid approach?

• Evaluate only at negative values.

• Evaluate at random points.

• Evaluate only at positive values.

• Evaluate at specific points like 0, 1, and 2.