Identifying Functions: Key Concepts and Techniques

What is a function in mathematical terms?

• A type of graph with multiple y-values for an x-value

• A relationship where each input has exactly one output

• A rule assigning multiple outputs to one input

• A mathematical expression without variables

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What real-world object is compared to a function in the video?

• A television

• A computer

• A calculator

• A vending machine

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Which of the following best describes the function of a vending machine as an analogy?

• Pressing a button does not deliver any item

• Pressing a button delivers multiple items

• Pressing a button delivers a random item

• Pressing a button delivers the selected item

What does the vertical line test determine?

• If a graph intersects the y-axis

• If a graph is a linear equation

• If a graph represents a function

• If a graph is symmetric

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In the context of ordered pairs, when is a set not considered a function?

• When all outputs are the same

• When the pairs are graphed on a Cartesian plane

• When inputs are repeated without variation in output

• When each input corresponds to multiple outputs

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Which table example did not represent a function?

• Both Table A and B

• Table B

• Neither Table A nor B

• Table A

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What is the outcome when an input in a function has more than one output?

• It is still considered a function

• It is not considered a function

• It becomes a linear function

• It transforms into a quadratic function

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What indicates that a mapping diagram represents a function?

• Inputs and outputs are numerically equal

• Each input has exactly one corresponding output

• Each output links to at least one input

• Each input has multiple corresponding outputs

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What does it mean if a graph passes the vertical line test?

• It has no function representation

• It represents multiple functions

• It does not represent a function

• It represents a function

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Which scenario describes a function failing the vertical line test?

• A vertical line intersects the graph at multiple points

• A vertical line does not touch the graph

• A vertical line intersects the graph at one point

• A vertical line runs parallel to the y-axis

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