Understanding Absolute Value Functions

This video tutorial reviews the key features of absolute value graphs, including vertex, x and y intercepts, average rate of change, domain, and range. The instructor explains how to identify these features, provides examples, and highlights common mistakes students make. The video also covers how to determine if a graph opens up or down and the implications for the average rate of change.

What is the primary focus of this section on absolute value functions?

• Inequalities

• Graph transformations

• Key features and test format

• Solving equations

What is the vertex of an absolute value function?

• The point where the graph changes direction

• The intersection with the y-axis

• The highest point on the graph

• The lowest point on the graph

How do you determine if a vertex is a maximum or minimum?

• By the direction of the opening

• By the x-intercept

• By the y-intercept

• By the slope of the graph

What is the significance of the vertex in an absolute value function?

• It determines the direction of the graph

• It is the point where the graph changes direction

• It is the highest point on the graph

• It is the lowest point on the graph

What does it mean if an absolute value graph opens downwards?

• The vertex is a minimum

• The vertex is a maximum

• The graph has no intercepts

• The graph is linear

Where do you find the x-intercepts of a graph?

• Where the graph crosses the y-axis

• At the origin

• Where the graph crosses the x-axis

• At the vertex

What is the y-intercept of a graph?

• The point where the graph crosses the x-axis

• The point where the graph crosses the y-axis

• The highest point on the graph

• The vertex of the graph

How do you identify the x-intercepts of a graph?

• By finding where the graph crosses the y-axis

• By finding where the graph crosses the x-axis

• By finding the slope

• By locating the vertex

What is the average rate of change for a graph that opens downwards?

• Negative

• Zero

• Positive

• Undefined

How do you calculate the average rate of change?

• By finding the slope of the tangent

• By finding the y-intercept

• By dividing the rise by the run

• By finding the x-intercept