The video tutorial covers piecewise functions, focusing on absolute value functions. It explains how to graph these functions, analyze their domain and range, and interpret them in real-life contexts. The tutorial also discusses transformations of functions, including changes in slope and orientation.

What is the primary focus of Chapter 5 in the lesson?

• Linear functions

• Quadratic functions

• Piecewise functions

• Exponential functions

Which notation is more commonly used in the textbook for absolute value functions?

• Tabular notation

• Y notation

• Function notation

• Graphical notation

What is the vertex of an absolute value function?

• The point where the graph changes direction

• The highest point on the graph

• The midpoint of the graph

• The intersection with the y-axis

What is the axis of symmetry for the function f(x) = |x|?

• Y = 0

• X = 0

• Y = X

• X = Y

How does multiplying the absolute value function by a negative number affect its graph?

• It compresses the graph vertically

• It shifts the graph upwards

• It reflects the graph over the x-axis

• It stretches the graph horizontally

What is the domain of the function f(x) = -2|x|?

• Only integers

• All real numbers

• All negative numbers

• All positive numbers

For the function f(x) = -2|x|, what is the range?

• Y > 0

• Y ≤ 0

• Y ≥ 0

• Y < 0

In the real-world example, how far did J travel in total?

• 45 miles

• 90 miles

• 135 miles

• 180 miles

How many miles did the cyclist travel in total in the given scenario?

• 20 miles

• 35 miles

• 50 miles

• 70 miles

What happens to the slope of the function when it is flipped over?

• It doubles

• It becomes positive

• It becomes negative

• It remains unchanged