Exploring Adding and Subtracting Rational Expressions

What defines a mathematical function?

• None of the above

• Outputs can repeat for different inputs

• Inputs can have multiple outputs

• Each input has exactly one output

Which of the following sets is a function?

• {(0, 6), (5, -2), (7, 9), (11, -1)}

• {(-4, 1), (-1, 7), (-1, 2), (5, 6)}

• {(2, 3), (2, 3)}

• All of the above

What outcome from a function machine indicates a function?

• One output for each input

• All of the above

• No output for some inputs

• Multiple outputs for one input

If X values repeat in a set, what does it imply?

• It is incomplete information

• It might be a function

• It is not a function

• It is definitely a function

In a function, can Y values repeat for different X values?

• It depends on the function type

• Yes, always

• No, never

• Yes, sometimes

Which set does not represent a function?

• All represent functions

• {(2, 3), (4, 5), (6, 7)}

• {(1, 2), (1, 3), (2, 4)}

• {(1, 2), (3, 4), (5, 6)}

What does the vertical line test determine?

• If a graph is a circle

• If a graph is a function

• If a graph is linear

• None of the above

Which scenario describes a non-function based on the vertical line test?

• A line does not intersect the graph

• A line intersects the graph at one point

• A line runs parallel to the graph

• A line intersects the graph at multiple points

What does a vertical line intersecting a graph at only one point signify?

• The graph is a function

• The graph is undefined

• The graph is not a function

• The graph is a circle

How does the vertical line test help in identifying functions?

• It checks if a line intersects the graph more than once

• It measures the thickness of the graph

• It checks for multiple Y values for one X

• It checks for the slope of the graph