Linear vs. Nonlinear functions

Front

Is y a function of x?

Back

Yes, y is a function of x if each input (x) has exactly one output (y).

Front

Is y a function of x?

Back

No, y is not a function of x if any input (x) has more than one output (y).

Front

Which image is NOT the graph of a function?

Back

A graph that has a vertical line intersecting it at more than one point is not a function.

Front

Is y a function of x?

Back

No, y is not a function of x if any input (x) has more than one output (y).

Front

Is this function represented by the graph Linear or Nonlinear?

Back

The function is nonlinear if its graph is not a straight line.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Give an example of a linear function.

Back

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

Front

Give an example of a nonlinear function.

Back

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