Is it a Function/Domain and Range

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the definition of domain in 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 definition of range in 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 set of ordered pairs to be a function?

Back

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

Front

What is the vertical line test?

Back

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

Front

What is an example of a set of values that is not a function?

Back

An example of a set of values that is not a function is {(1, 2), (1, 3), (2, 4)} because the x-value '1' is associated with two different y-values.

Front

How can you determine if a relation is a function from a graph?

Back

You can determine if a relation is a function from a graph by using the vertical line test; if any vertical line crosses the graph more than once, it 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 in the form (x, y).

Front

What does it mean for an x-value to repeat in a set of ordered pairs?

Back

If an x-value repeats in a set of ordered pairs, it means that there are multiple y-values associated with that x-value, which indicates that the relation is not a function.

Front

What is the significance of the range in a function?

Back

The range is significant because it tells us the possible output values of the function, which helps in understanding the behavior of the function.