Turning Points and Polynomial Behavior

The video tutorial covers graphing concepts, focusing on M Behavior, relative maxima and minima, turning points, and polynomial degree. It explains how to estimate turning points and zeros, and discusses the domain and range of graphs. The tutorial provides a comprehensive understanding of graph analysis, helping students identify key features and characteristics of polynomial graphs.

What is the end behavior of a polynomial graph as it moves to the left?

• It goes down to negative infinity.

• It goes up to positive infinity.

• It oscillates.

• It remains constant.

What are the points called where a graph changes from increasing to decreasing?

• Absolute maximums

• Turning points

• Inflection points

• Critical points

What is a relative maximum?

• A point where the graph changes from decreasing to increasing

• The highest point on the entire graph

• A point where the graph changes from increasing to decreasing

• The lowest point on the entire graph

How many turning points does a polynomial of degree 4 have?

• 4

• 3

• 5

• 2

If a graph has a turning point at x = -4, what is this point likely to be?

• A zero

• An inflection point

• A relative maximum

• A relative minimum

What is the x-coordinate of a zero if the graph crosses the x-axis at x = -2?

• -2

• 0

• 2

• -4

If a polynomial has 4 turning points, what is the smallest possible degree?

• 5

• 4

• 3

• 6

What is the domain of a continuous polynomial function?

• All real numbers

• Only integers

• Only negative numbers

• Only positive numbers