Functions & Relations

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Tags

CCSS.8.F.A.1

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

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no x-value is repeated with different y-values.

Tags

CCSS.8.F.A.1

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one x-value is associated with more than one y-value.

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

How do you find the value of a function at a specific point, such as f(0)?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation and simplify.

Tags

CCSS.HSF.IF.A.2

Front

What is a mapping in the context of functions?

Back

A mapping is a way to represent a function, showing how each element of the domain is paired with an element of the range.

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 to determine if a graph represents a function; if any vertical line intersects the graph more than once, it is not a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 1, where each x-value has a unique corresponding y-value.

Tags

CCSS.8.F.A.1

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the x-value 1 is paired with two different y-values.

Tags

CCSS.8.F.A.1