Functions Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn intersects the graph at most once (Vertical Line Test).

Front

What is the difference between a relation and a function?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input has exactly one output.

Tags

CCSS.8.F.A.1

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output is associated with exactly one input.

Front

What is an example of a non-function?

Back

A relation where an input has multiple outputs, such as the relation {(1, 2), (1, 3)}.

Tags

CCSS.8.F.A.1

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.

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 ≠ 0.

Front

What is the notation for a function?

Back

The notation f(x) represents a function named 'f' evaluated at the input 'x'.

Tags

CCSS.HSF.IF.A.2