Identify Functions from a Graph

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

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

Back

If a graph is not a function, it means that at least one input (x-value) has more than 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

How can you tell if a graph represents a function?

Back

A graph represents a function if it passes the vertical line test.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, which produces a straight line.

Front

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

Back

A circle is an example of a graph that is not a function because it fails the vertical line test.

Front

What is the significance of the x-axis in a function?

Back

The x-axis represents the input values (domain) of the function.

Front

What is the significance of the y-axis in a function?

Back

The y-axis represents the output values (range) of the function.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.