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 curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

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

Back

No, it is not a function because the input '1' is related to two different outputs (2 and 4).

Front

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

Back

Yes, it is a function because each input is related to exactly one output.

Front

What does it mean for a graph to be a function?

Back

A graph represents a function if every x-value has only one corresponding y-value.

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 example of a function?

Back

An example of a function is f(x) = x + 2, where each input x gives a unique 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 y^2 = x, because for some x-values, there are two corresponding y-values.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

Is the set of points {(0,1), (1,2), (2,2)} a function?

Back

Yes, it is a function because each input (0, 1, 2) has only one output.