Determining Functions from Relations

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

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).

Front

What is the slope formula?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output (y-value) is paired with exactly one input (x-value).

Front

Given the relation {(6, -2), (-4,-1), (2,0), (-7,4)}, is it a function?

Back

Yes, the relation is a function.

Front

Given the relation {(-7,4), (-4,1), (-4,-9), (0,-6)}, is it a function?

Back

No, the relation is not a function because the input -4 has two different outputs.

Front

Given the relation {(5,12), (-4,9), (-2,-7), (-4,0), (3,2)}, is it a function?

Back

No, the relation is not a function because the input -4 has two different outputs.

Front

Given the relation {(0,1), (1,2), (2,3), (3,4)}, is it a function?

Back

Yes, the relation is a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.

Front

What is the domain of a function?

Back

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