Identifying Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What type of function is represented by a straight line?

Back

Linear function.

Front

What type of function is represented by a curve?

Back

Nonlinear function.

Front

Which of the following represents a function: {(1,2), (2,3), (1,4)}?

Back

No, because the input '1' has two different outputs (2 and 4).

Front

Which of the following represents a function: {(1,2), (2,3), (3,4)}?

Back

Yes, because each input has only one output.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.

Front

What is a linear equation?

Back

An equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is a nonlinear equation?

Back

An equation that does not form a straight line when graphed, such as quadratic or exponential equations.