M1 Final Exam Review: Functions

Front

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 definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

Which of the following sets of values represents a function? (9,5) (10,5) (9,-5) (10,-5) or (6,-5) (7, -3) (8, -1) (9, 1)?

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each x-value is unique.

Front

Is the mapping (2,3), (2,4), (3,5) a function or not a function?

Back

Not a Function, because the input 2 has two different outputs.

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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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What does it mean for a function to be one-to-one?

Back

A function is one-to-one if no two different inputs produce the same output.

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What is a vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output.

Front

What is an independent variable in a function?

Back

The independent variable is the input value (usually x) that can be changed freely.

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What is a dependent variable in a function?

Back

The dependent variable is the output value (usually y) that depends on the input value.