Identify Functions from a Graph

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, then it is not a function.

Front

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

Back

If a graph is not a function, it means that there are at least two points with the same x-coordinate but different y-coordinates.

Front

Can a function have multiple outputs for a single input?

Back

No, a function cannot have multiple outputs for a single input. Each input must correspond to exactly one output.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where for every value of x, there is a unique value of y.

Front

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

Back

An example of a graph that is not a function is a circle, as it fails the vertical line test.

Front

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

Back

If the graph is a straight line or a curve that does not loop back on itself, it is likely a function.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

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

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.