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

A graph is not a function if any vertical line drawn intersects the graph at more than one point.

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 crosses the graph more than once, it is not a function.

Front

Give an example of a function.

Back

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

Front

Give 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 a vertical line can intersect it at two points.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you tell if a graph is a function by looking at it?

Back

You can tell if a graph is a function by using the vertical line test; if any vertical line crosses the graph more than once, it is not a function.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, typically in the form y = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax² + bx + c, where a, b, and c are constants.