Functions, Domain and Range Review

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.

Front

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.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every vertical line intersects the graph at most once (Vertical Line Test).

Front

Evaluate f(x) = x^2 for f(-8).

Back

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Front

What is the domain of the function f(x) = √(x-3)?

Back

x ≥ 3.

Front

What is the range of the function f(x) = x^2?

Back

The range is y ≥ 0.

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output value is associated with exactly one input value.

Front

What is an example of a function that is not one-to-one?

Back

f(x) = x^2 is not one-to-one because both f(2) and f(-2) yield the same output (4).

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 the domain of the function f(x) = 1/(x-2)?

Back

x ≠ 2.