Intro to Functions

Front

What is the Vertical Line Test?

Back

A method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.

Front

What defines a function?

Back

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

Tags

CCSS.8.F.A.1

Front

What is a relation in mathematics?

Back

A set of ordered pairs, where each pair consists of an input and an output.

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What are the quadrants in the coordinate plane?

Back

The four regions created by the x-axis and y-axis, labeled as Quadrant I, II, III, and IV.

Tags

CCSS.5.G.A.1

Front

How can you tell if a graph is a function?

Back

By using the Vertical Line Test; if a vertical line crosses the graph more than once, it is not a function.

Front

What is function notation?

Back

A way to denote functions, typically written as f(x), where f is the function name and x is the input.

Tags

CCSS.HSF.IF.A.1

CCSS.8.F.A.1

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one unique output.

Tags

CCSS.8.F.A.1

Front

What does it mean for a table to represent a function?

Back

Each x-value in the table must correspond to only one y-value.

Tags

CCSS.8.F.A.1

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point in the coordinate plane.

Tags

CCSS.5.G.A.1

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.