Is it a function?

Front

What is a function?

Back

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

Front

How can you tell if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no x-value repeats with a different y-value.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one x-value is associated with more than one y-value.

Front

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

Back

No, it is not a function because the x-value 1 is associated with two different y-values (2 and 4).

Front

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

Back

Yes, it is a function because each x-value is associated with exactly one 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

If a function has an input of 3 and an output of 5, what can you say about the function?

Back

For the input of 3, the function produces a single output of 5, which is consistent with the definition of a function.

Front

What is an example of a function in real life?

Back

An example of a function in real life is a vending machine: for each button (input), there is one specific item (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 the definition of a 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.