Functions, Functions, Functions

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 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

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 does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) is associated with exactly one output (y-value).

Front

Identify the function from the following sets: (9,5), (10,5), (9,-5), (10,-5), (6,-5), (7,-3), (8,-1), (9,1)

Back

(6,-5), (7,-3), (8,-1), (9,1) is a function because each x-value is unique.

Front

What is an independent variable in a function?

Back

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

Front

What is a dependent variable in a function?

Back

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

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 crosses the graph more than once, it is not a function.

Front

What does it mean if a table has repeated x-values?

Back

If a table has repeated x-values, it means that the relation is not a function because one input cannot correspond to multiple outputs.

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

The domain is {0, 1, 2, -4}.