Is it a Function?

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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

What does it mean for a set of values to be a function?

Back

A set of values is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

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

Back

Yes, because each x-value is unique and corresponds to one y-value.

Front

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

Back

No, because the x-value '1' corresponds to two different y-values (2 and 3).

Front

What is an example of a function?

Back

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

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than one output.

Front

How can you tell if a table of values represents a function?

Back

Check if any x-values are repeated; if they are, it is not a function.

Front

What is the definition of a relation in mathematics?

Back

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

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.