Intro to Functions 24

Front

What is a function in mathematics?

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

How can you determine if a graph represents a function?

Back

You can determine if a graph represents a function by using the Vertical Line Test; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method for determining if a curve is a graph of a function or not by checking if any vertical line intersects the graph more than once.

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the input and 'y' is the output of a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

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

Back

A set of values is a function if each input (x-value) corresponds to exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Tags

CCSS.8.F.A.1

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What is a mapping in the context of functions?

Back

A mapping is a way to describe how each element of a set (domain) is paired with an element of another set (range).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.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 is associated with exactly one output, while a relation can have multiple outputs for a single input.

Tags

CCSS.8.F.A.1