Identifying Functions

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of permissible outputs, where each input is related to exactly one output.

Front

What is the definition of a dependent variable?

Back

A dependent variable is the variable in an experiment that is affected by changes in the independent variable.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the one that is changed or controlled in a scientific experiment, while the dependent variable is the one that is measured or observed.

Front

What does it mean for two terms to be like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the output of a function?

Back

The output of a function is the result obtained after applying the function to an input.

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input has exactly one output.

Front

What is an example of a function?

Back

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

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with more than 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 by checking if any vertical line intersects the curve at more than one point.

Front

What is the significance of the output in a function?

Back

The output is significant as it represents the result of applying the function to a specific input.