Function/Not a Function Day 2

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

What does it mean for a graph to be a function?

Back

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

Front

Which graph does NOT pass the vertical line test?

Back

A graph that has at least one vertical line intersecting it at more than one point.

Front

What is the horizontal line test?

Back

A method to determine if a function is one-to-one. If any horizontal line intersects the graph at more than one point, the function is not one-to-one.

Front

Is the graph of a circle a function?

Back

No, because a vertical line can intersect the circle at two points.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for every x, there is one unique y.

Front

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

Back

The equation x^2 + y^2 = 1 is not a function because for some x-values, there are two corresponding y-values.

Front

What does it mean if a graph is 'not a function'?

Back

It means that at least one input (x-value) corresponds to more than one output (y-value).

Front

How can you determine if a graph is a function using points?

Back

If any two points have the same x-coordinate but different y-coordinates, the graph is not a function.

Front

What is a mapping diagram?

Back

A visual representation that shows how each input is paired with an output, helping to determine if a relation is a function.