Function or Not?

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What does the vertical line test determine?

Back

The vertical line test determines 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 relation (2, 3), (2, 4), (3, 5) a function? Why?

Back

No, because the x-value 2 has two different y-values (3 and 4).

Front

What is an ordered pair?

Back

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

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 a relation in mathematics?

Back

A relation is a set of ordered pairs, which can show how two quantities are related.

Front

If a graph has repeating x-values, what can we conclude?

Back

If a graph has repeating x-values with different y-values, it is not a function.

Front

What is the significance of the x-value in a function?

Back

The x-value is the input of the function, and each x-value must correspond to only one y-value.

Front

What does it mean if a function is not defined?

Back

A function is not defined if there is no output for a given input.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x has a unique output.