Function or Not?

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

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one corresponding y-value.

Front

What does it mean if an x-value has two different y-values?

Back

If an x-value has two different y-values, the relation is not a function because it violates the definition of a function.

Front

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

Back

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

Front

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

Back

Yes, it is a function because each x-value has exactly one y-value.

Front

What is an ordered pair?

Back

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

Front

What is the definition of a relation?

Back

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

Front

If a graph has a curve, can it still be a function?

Back

Yes, a graph can be a function even if it is curved, as long as it passes the vertical line test.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function has at least one input with multiple outputs.