Function or Not

Front

What is a function?

Back

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

Front

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

Back

Yes, this is a function because each input has one output.

Front

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

Back

No, this is not a function because the input '1' has two different outputs.

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 crosses the graph more than once, it is not a function.

Front

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

Back

Yes, the graph of y = x^2 is a function because each x-value has one corresponding y-value.

Front

Is the graph of y = √x a function?

Back

Yes, the graph of y = √x is a function because each x-value has one corresponding y-value.

Front

Is the graph of y = ±√x a function?

Back

No, the graph of y = ±√x is not a function because each x-value can have two different y-values.

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 has more than one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each input x gives one output.

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 input '1' has two outputs.