Warm up-Relations Functions, and Multiple Representations Review

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

Define a function in the context of relations.

Back

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

Tags

CCSS.8.F.A.1

Front

What is the difference between a relation and a function?

Back

The main difference is that in a function, each input has only one output, while a relation can have multiple outputs for a single input.

Tags

CCSS.8.F.A.1

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent a point in a coordinate system, where 'x' is the first element and 'y' is the second element.

Tags

CCSS.5.G.A.1

Front

What does it mean to map ordered pairs?

Back

Mapping ordered pairs involves associating each input value with its corresponding output value, often represented visually or in a table.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How can you represent a function graphically?

Back

A function can be represented graphically using a coordinate plane, where the x-axis represents input values and the y-axis represents output values.

Front

What is a mapping diagram?

Back

A mapping diagram is a visual representation that shows how each input is paired with its output in a function or relation.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the vertical line test?

Back

The vertical line test is a method used 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 are multiple representations of a function?

Back

Multiple representations of a function include verbal descriptions, equations, tables, and graphs.

Front

How do you determine if a relation is a function from a set of ordered pairs?

Back

A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Tags

CCSS.8.F.A.1