3.1 vertical line test

Front

What is the vertical line test?

Back

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 does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

Front

If a graph passes the vertical line test, what can we conclude?

Back

The graph represents a function.

Front

If a graph does not pass the vertical line test, what can we conclude?

Back

The graph does not represent a function.

Front

Example of a function: y = 2x + 3. Does it pass the vertical line test?

Back

Yes, it passes the vertical line test.

Front

Example of a non-function: y^2 = x. Does it pass the vertical line test?

Back

No, it does not pass the vertical line test.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is a non-function?

Back

A relation where at least one input has more than one output.

Front

Can a vertical line intersect a function graph more than once?

Back

No, it cannot.

Front

What is the significance of the vertical line test in mathematics?

Back

It helps to visually determine if a relation is a function.