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 is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and can include curves, such as quadratic functions.

Front

Identify the function: y = 2x + 3

Back

This is a linear function.

Front

Identify the function: y = x^2 + 2

Back

This is a nonlinear function.

Front

What is the vertical line test?

Back

The vertical line test is a method 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 domain of a function?

Back

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

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 is an example of a linear function?

Back

y = 4x - 1 is an example of a linear function.

Front

What is an example of a nonlinear function?

Back

y = 3x^2 + 2 is an example of a nonlinear function.