Exploring Function and Non-Function Concepts

What is a function in terms of domain and range?

• A relation where each value in the domain maps to multiple values in the range.

• A relation where each value in the range maps to exactly one value in the domain.

• A relation where each value in the range maps to multiple values in the domain.

• A relation where each value in the domain maps to exactly one value in the range.

Why is the relation where '2' maps to 'A', 'B', and 'C' not a function?

• Because 'A', 'B', and 'C' are not in the range.

• Because 'A', 'B', and 'C' are not in the domain.

• Because '2' maps to more than one value in the range.

• Because '2' maps to only one value in the range.

What does the vertical line test help determine?

• If a relation is a one-to-one function.

• If a relation is a many-to-one function.

• If a relation is a function.

• If a relation is a bijective function.

What does it mean if a vertical line intersects a graph at more than one point?

• The relation is onto.

• The relation is one-to-one.

• The relation is not a function.

• The relation is a function.

In the vertical line test, what does it indicate if a vertical line intersects the graph at exactly one point?

• The relation is not defined.

• The relation is many-to-one.

• The relation is not a function.

• The relation is a function.

Given the points (2,3), (3,1), (5,-6), and (6,4), does the vertical line test confirm this as a function?

• No, because the points are not in the same quadrant.

• Yes, because all points are distinct.

• No, because some vertical lines intersect more than one point.

• Yes, because no vertical line intersects more than one point.

Why does the set of points (3,-1), (5,2), and (5,0) fail the vertical line test?

• Because a vertical line intersects the graph at more than one point.

• Because the points do not form a straight line.

• Because the points are in different quadrants.

• Because the points are not distinct.

What should you do if a vertical line intersects a graph at two different places?

• Conclude that the relation is a function.

• Conclude that the relation is not a function.

• Check if the points are distinct.

• Check if the points are in the same quadrant.

What is the purpose of the vertical line test in graphing?

• To determine if a graph is linear.

• To determine if a relation is bijective.

• To determine if a relation is a function.

• To determine if a graph is quadratic.

What should students do after watching the video tutorial?

• Draw graphs of all the examples shown.

• Complete the problems in the notes and bring them to class.

• Create their own vertical line tests.

• Memorize the definitions of functions and relations.