How to evaluate the definite integral with absolute value

The video tutorial explains the properties of absolute value graphs, including their vertex and slope. It discusses how the graph shifts and changes in slope, and evaluates the function at specific points. The tutorial also covers calculating the dimensions of triangles formed on the graph and finding the total area under the graph.

What is the vertex of an absolute value graph?

• The point where the graph intersects the x-axis

• The point where the graph changes direction

• The point where the graph intersects the y-axis

• The highest point on the graph

How do you determine the x-intercept of a shifted absolute value graph?

• By finding the slope of the graph

• By setting the function equal to zero

• By identifying the vertex

• By calculating the area under the graph

What is the y-value when x is zero in the given graph?

• -1

• 3

• 0

• 1

What is the length of the base of the triangle formed from x=0 to x=3?

• 3

• 2

• 1/2

• 1

How do you calculate the total area under the graph?

• By adding the areas of individual triangles

• By finding the slope of the graph

• By subtracting the smaller area from the larger area

• By multiplying the base and height of the graph