Identifying Functions

Front

What is a function?

Back

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

Front

Is the function y = 2x + 3 linear or nonlinear?

Back

Linear

Front

Which of the following is NOT a linear function? y = 3x, y = x², y = 5x - 9, y = 3(x + 4)

Back

y = x²

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 are the domain and range of a function?

Back

Domain is the set of all possible input values (x-values), and range is the set of all possible output values (y-values).

Front

What is a linear function?

Back

A function that graphs to a straight line, typically in the form y = mx + b.

Front

What is a nonlinear function?

Back

A function that does not graph to a straight line, such as quadratic or exponential functions.

Front

Give an example of a linear function.

Back

y = 4x - 1

Front

Give an example of a nonlinear function.

Back

y = x² + 2

Front

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

Back

Each output is paired with exactly one input; no two different inputs produce the same output.