Is it a function?

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

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If a horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

Is the set of values (2,3), (3,4), (2,5) a function?

Back

No, it is not a function because the input '2' has two different outputs (3 and 5).

Front

Is the set of values (1,2), (2,3), (3,4) a function?

Back

Yes, it is a function because each input has a unique output.

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

Which graph passes the vertical line test?

Back

A graph that does not have any vertical line intersecting it at more than one point.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value corresponds to one y-value.

Front

What is an example of a relation that is not a function?

Back

An example is the relation {(1,2), (1,3)}, where the input '1' has two outputs.

Front

How can you tell if a table of values represents a function?

Back

Check if any x-value is repeated with different y-values; if so, it is not a function.