Function or Not?

Front

What is a function?

Back

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

Tags

CCSS.8.F.A.1

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

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

Back

If a relation is not a function, it means that at least one input is associated with multiple outputs.

Tags

CCSS.8.F.A.1

Front

Give an example of a function.

Back

An example of a function is the equation y = 2x + 3, where each x-value corresponds to one y-value.

Tags

CCSS.8.F.A.1

Front

Give an example of a relation that is not a function.

Back

An example of a relation that is not a function is the equation x^2 + y^2 = 1, which represents a circle.

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element in one set (domain) is paired with an element in another set (range).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How can you tell if a graph is a function?

Back

You can tell if a graph is a function by using the vertical line test.

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 the function.

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 one-to-one?

Back

A function is one-to-one if each output is produced by exactly one input, meaning no two different inputs have the same output.