Identify Functions

Front

What is a function?

Back

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

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.

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).

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.

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.

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.

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.