Functions

Front

What are independent quantities in a function?

Back

Independent quantities are the input values of a function, often represented as 'x'. In a table, these are the values that can be chosen freely.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It has a constant rate of change and can be represented by the equation y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its rate of change varies and can include curves or other shapes.

Front

What are dependent quantities in a function?

Back

Dependent quantities are the output values of a function, often represented as 'y'. These values depend on the independent quantities.

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 result from the input values (x-values).

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 can be used in the function.

Front

How can you determine if a function is linear or nonlinear from a table?

Back

If the differences between consecutive y-values are constant, the function is linear. If the differences vary, it is nonlinear.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

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

Back

A function is one-to-one if each output value is paired with exactly one input value, meaning no two different inputs produce the same output.

Front

What is a function?

Back

A function is a special relation where each input value has exactly one output value.