NOWAK Linear vs. Nonlinear functions

Front

What is a function?

Back

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

Front

Is y a function of x if for every x there is exactly one y?

Back

Yes, y is a function of x.

Front

What is the general form of a linear function?

Back

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create straight lines when graphed, while nonlinear functions create curves.

Front

Identify the function: y = 2x + 3. Is it linear or nonlinear?

Back

Linear.

Front

Identify the function: y = 3x^2 + 3. Is it linear or nonlinear?

Back

Nonlinear.

Front

What does the graph of a linear function look like?

Back

The graph of a linear function is a straight line.

Front

What does the graph of a nonlinear function look like?

Back

The graph of a nonlinear function can be a curve, parabola, or any shape that is not a straight line.

Front

If a function is represented by the equation y = -2x + 3, what type of function is it?

Back

Linear.

Front

If a function is represented by the equation y = 3x^2 + 2x + 1, what type of function is it?

Back

Nonlinear.