Exploring Advanced Math Vocabulary

What is a critical point on a graph?

• A point where the graph intersects the x-axis

• A point where the graph has a hole

• A point where the graph intersects the y-axis

• A point where the tangent to the curve is horizontal or vertical

What does an absolute maximum represent on a graph?

• The highest point in a local area

• The lowest point over the entire domain

• The highest point over the entire domain

• The lowest point in a local area

Why is there no absolute maximum in a graph with arrows at both ends?

• Because the graph has a hole

• Because the graph is undefined

• Because the graph is a straight line

• Because the graph keeps going higher

What is a relative maximum?

• The lowest point over the entire domain

• The highest point over the entire domain

• The highest point in a local area

• The lowest point in a local area

What is a relative minimum?

• The highest point in a local area

• The lowest point in a local area

• The highest point over the entire domain

• The lowest point over the entire domain

Which of the following is true about a relative maximum?

• It is the highest point over the entire domain

• It is the highest point in a local area

• It is the lowest point over the entire domain

• It is the lowest point in a local area

Which of the following is true about a relative minimum?

• It is the highest point in a local area

• It is the highest point over the entire domain

• It is the lowest point in a local area

• It is the lowest point over the entire domain

What is a point of inflection?

• A point where the graph intersects the y-axis

• A point where the graph changes its curvature

• A point where the graph intersects the x-axis

• A point where the graph has a hole

What does it mean when a graph changes from concave up to concave down?

• The graph has a relative maximum

• The graph has a point of inflection

• The graph has a relative minimum

• The graph has an absolute maximum

What is the significance of a point of inflection?

• It indicates where the graph has a hole

• It indicates where the graph intersects the x-axis

• It indicates where the graph changes its curvature

• It indicates where the graph intersects the y-axis