Linear and Non-Linear Functions 12/6/24

Front

What is a linear function?

Back

Front

What is a non-linear function?

Back

A non-linear function is a function that does not create a straight line when graphed. Examples include quadratic functions, exponential functions, and absolute value functions.

Front

Back

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, no two ordered pairs can have the same first element.

Front

Which set of values represents a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3,8), (6,-5) (7,-3) (8,-1) (9,1), (2,-2) (5,9) (5,-7) (1,4)

Back

The set (6,-5) (7,-3) (8,-1) (9,1) represents a function.

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What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once. This is known as the vertical line test.

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What does it mean for a mapping to be a function?

Back

A mapping is a function if each input is associated with exactly one output. If an input corresponds to multiple outputs, it is not a function.

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What is the difference between domain and range?

Back

The domain refers to the set of input values (x-values), while the range refers to the set of output values (y-values) of a function.