Algebra 1 Functions Flashcard

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all possible input values (x-values) for that relation.

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) for that relation.

Front

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

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

Identify if the relation {(-2, 4), (4, 2), (2, 4), (-4, 2)} is a function.

Back

The relation is a function because the inputs (-2, 4, 2, -4) do not repeat.

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

The output is f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

What is the vertical line test?

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate plane.

Front

What does it mean for outputs to repeat in a relation?

Back

If a relation has the same output for different inputs, it may still be a function, but if the same input has different outputs, it is not a function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.