Function or Not

Front

What is a function in mathematics?

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

How can you determine if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input (x-value) is connected to exactly one output (y-value).

Front

What does it mean if a mapping diagram is not a function?

Back

If a mapping diagram is not a function, it means that at least one input is associated with more than one output.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph is not a function.

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 is associated with only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output x^2.

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 the set of points {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Front

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input, meaning no two different inputs produce the same output.

Front

What is the definition of a many-to-one function?

Back

A many-to-one function is a function where multiple inputs can produce the same output.

Front

How can you identify a function from a table of values?

Back

You can identify a function from a table of values by checking if each input (x-value) corresponds to only one output (y-value).