Day 63 - 8.PFA.2 Functions

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

How can you determine if a set of points represents a function?

Back

A set of points represents a function if no x-value is repeated; each input must have a unique output.

Tags

CCSS.8.F.A.1

Front

What does it mean if a table has repeated x-values?

Back

If a table has repeated x-values, it does not represent a function because it violates the definition of a function.

Tags

CCSS.8.F.A.1

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

What should you check first when given a table of values to determine if it is a function?

Back

Check for repeated inputs (x-values) to see if any x-value corresponds to more than one y-value.

Tags

CCSS.8.F.A.1

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value is unique.

Tags

CCSS.8.F.A.1

Front

What is an example of a non-function?

Back

A set of points like (1,2), (1,3) is a non-function because the x-value 1 is repeated with different y-values.

Tags

CCSS.8.F.A.1

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but does not have to.

Tags

CCSS.8.F.A.1

Front

How do you identify a function from a graph?

Back

You can identify a function from a graph by using the vertical line test.

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.

Tags

CCSS.8.F.A.1