Functions

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.

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, then it is not a function.

Front

What does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element (input).

Tags

CCSS.8.F.A.1

Front

What is an example of a function?

Back

An example of a function is the set of ordered pairs {(1, 2), (2, 3), (3, 4)}.

Tags

CCSS.8.F.A.1

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 the set of ordered pairs {(1, 2), (1, 3)} because the input '1' is related to two different outputs.

Tags

CCSS.8.F.A.1

Front

What is the definition of a domain in a function?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the definition of a range in a function?

Back

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

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 a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.