Exploring Functions and Their Properties

What is one of the key criteria for a relation to be considered a function?

• X values must not repeat

• The relation must be linear

• Y values must be unique

• The graph must be a straight line

What test must a function pass to ensure it is valid?

• Horizontal line test

• Slope test

• Point test

• Vertical line test

In a mapping, what indicates that a relation is not a function?

• X values are unique

• X values repeat

• Y values are unique

• Y values repeat

In the given example, why is the mapping with 2 going to both 10 and 20 not a function?

• Because 10 and 20 are not unique

• Because 10 and 20 are too large

• Because 2 is repeating

• Because 2 is not a valid input

Why is the mapping with 1 going to 5, 2 going to 10, 3 going to 20, and 4 going to 15 considered a function?

• Because the mapping is linear

• Because the Y values are multiples of X

• Because all Y values are different

• Because all X values are different

In the example with numbers 3, 4, 5, 6 mapping to 10, 10, 10, 10, why is this considered a function?

• Because Y values are the same

• Because X values do not repeat

• Because the mapping is linear

• Because the Y values are multiples of X

In the example with numbers 4, 4, 8, 12 mapping to 10, 11, 12, 13, why is this not considered a function?

• Because X values repeat

• Because the Y values are not multiples of X

• Because Y values are different

• Because the mapping is not linear

What does it mean if points on a graph are stacking on top of each other?

• The graph is quadratic

• The graph is linear

• The graph is not a function

• The graph is a function

What does the vertical line test check for in a graph?

• If any vertical line intersects the graph at more than one point

• If the graph is linear

• If the graph is quadratic

• If the graph passes through the origin

Where should students go to complete the quiz on functions?

• Khan Academy

• Google Classroom

• Schoology

• Edmodo