Functions or Not Functions Flashcard

Front

What is a function?

Back

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

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

Is the graph of a circle a function?

Back

No, the graph of a circle is not a function because a vertical line can intersect it at two points.

Front

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

Back

A mapping is a function if every input is paired with exactly one output.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where 'x' is the input and 'y' is the output.

Front

If (3, 5) and (3, 7) are points in a mapping, is it a function?

Back

No, it is not a function because the input '3' has two different outputs (5 and 7).

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can represent a function or not.

Front

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

Back

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

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that can be used in the function.