Identify Functions

Front

What is a function?

Back

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

Tags

CCSS.8.F.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 a vertical line intersects the graph at more than one point, it is not a function.

Front

Is the mapping {(1,2), (2,3), (3,4)} a function?

Back

Yes, it is a function because each input has a unique output.

Tags

CCSS.8.F.A.1

Front

Is the mapping {(1,2), (1,3), (2,4)} a function?

Back

No, it is not a function because the input '1' has two different outputs (2 and 3).

Tags

CCSS.8.F.A.1

Front

What does it mean for a relation to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

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, as long as each input has only one output.

Tags

CCSS.8.F.A.1

Front

What is an ordered pair?

Back

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

Tags

CCSS.5.G.A.1

Front

Is the graph of y = x^2 a function?

Back

Yes, it is a function because for every x-value, there is exactly one y-value.

Front

Is the graph of y = √x a function?

Back

Yes, it is a function because for every x-value, there is exactly one non-negative y-value.

Front

Is the graph of y = 1/x a function?

Back

Yes, it is a function, but it is not defined at x = 0.