Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

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

Back

If a relation passes the vertical line test, it is a function.

Front

What does it mean if a relation does not pass the vertical line test?

Back

If a relation does not pass the vertical line test, 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 by checking if a horizontal line intersects the graph at more than one point.

Front

Can a straight line be a function?

Back

Yes, a straight line can be a function if it is not vertical.

Front

What is an example of a function?

Back

An example of a function is y = 2x + 3, where each x value has one corresponding y value.

Front

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

Back

An example of a relation that is not a function is y^2 = x, where one x value can correspond to two y values.

Front

What is a mapping in the context of functions?

Back

A mapping describes how each element in one set (domain) is paired with an element in another set (range).

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if different inputs produce different outputs.