Function or not a function

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is the vertical line test?

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

What does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two different ordered pairs have the same first element (x-value).

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs. For example, f(2) = 3 and f(4) = 3 are valid in a function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

Is the relation {(1, 2), (2, 3), (1, 4)} a function?

Back

No, this relation is not a function because the input '1' is associated with two different outputs (2 and 4).

Front

Is the relation {(3, 5), (4, 5), (5, 6)} a function?

Back

Yes, this relation is a function because each input (3, 4, 5) has exactly one output.

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 the function can accept.

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.