Relations and Functions

Front

What is a Relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Tags

CCSS.8.F.A.1

Front

What is a Function?

Back

A function is a special type of relation where each input (x) is associated with exactly one output (y).

Tags

CCSS.8.F.A.1

Front

How can you determine if a relation is a function?

Back

A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).

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) that a function can produce.

Front

Identify the Domain: f(x) = 1/(x-2)

Back

The domain is all real numbers except x = 2.

Front

Identify the Range: f(x) = x^2

Back

The range is all real numbers greater than or equal to 0, or [0, ∞).

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = 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 f(x) = ax^2 + bx + c, where a, b, and c are constants.