Is it a Function?

Front

What is a function?

Back

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

Front

What does the vertical line test determine?

Back

The vertical line test determines 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 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

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

Which of the following is a function: (2,3), (2,4), (3,5) or (1,2), (1,3), (2,4)?

Back

(3,5) is a function because each input has a unique output.

Front

What is an example of a non-function?

Back

A relation like (1,2), (1,3) is not a function because the input '1' has two different outputs.

Front

What does it mean for a function to be one-to-one?

Back

A one-to-one function is a function where each output is produced by exactly one input.

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no two pairs have the same first element (x-value).

Front

What is the definition of the independent variable in a function?

Back

The independent variable is the input value (x) that can be freely chosen.

Front

What is the dependent variable in a function?

Back

The dependent variable is the output value (y) that depends on the input value.