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).

Tags

CCSS.8.F.A.1

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).

Tags

CCSS.8.F.A.1

Front

Is this function represented by the graph Linear or Nonlinear?

Back

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

Tags

CCSS.8.F.A.3

Front

What is a linear function?

Back

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a nonlinear function?

Back

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

Tags

CCSS.8.F.A.3

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Give an example of a nonlinear function.

Back

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

Tags

CCSS.8.F.A.3