Is it a function? ( vertical line test)

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 used to determine if a curve is a function. If a vertical line intersects the curve at more than one point, then the curve is not a function.

Front

Give an example of a function.

Back

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

Front

Give an example of a relation that is not a function.

Back

An example of a relation that is not a function is the equation x^2 + y^2 = 1, which represents a circle and fails the vertical line test.

Front

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

Back

For a relation to be a function, each input must correspond to exactly one output.

Front

How can you use the vertical line test on a graph?

Back

To use the vertical line test, draw vertical lines through the graph. If any vertical line crosses the graph at more than one point, the graph does not represent a function.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Can a function have multiple outputs for one input?

Back

No, a function cannot have multiple outputs for one input. Each input must have exactly one output.

Front

What is a one-to-one function?

Back

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