Exploring Polynomial End Behavior

What is the end behavior of an odd degree polynomial function?

• Both ends point up

• Both ends point down

• Ends point in the same direction

• Ends point in opposite directions

If the leading coefficient of an odd degree polynomial is positive, how does the graph behave?

• Starts down and ends up

• Starts up and ends up

• Starts up and ends down

• Starts down and ends down

How does the graph of y = -x + 2 behave?

• Starts up and ends up

• Starts down and ends down

• Starts up and ends down

• Starts down and ends up

What does the left behavior of a graph indicate?

• Behavior as x approaches positive infinity

• Behavior as y approaches positive infinity

• Behavior as x approaches negative infinity

• Behavior as y approaches negative infinity

In advanced notation, how is the left behavior of a graph with a positive leading coefficient written?

• As x approaches positive infinity, y approaches negative infinity

• As x approaches negative infinity, y approaches negative infinity

• As x approaches negative infinity, y approaches positive infinity

• As x approaches positive infinity, y approaches positive infinity

What is the shape of the graph of y = x^2?

• Straight line

• U-shaped curve

• S-shaped curve

• V-shaped curve

How does the graph of y = x^4 compare to y = x^2?

• y = x^4 is a straight line

• Both are V-shaped

• Both are U-shaped, but y = x^4 is flatter near the origin

• Both are S-shaped

What happens to the graph of an even degree polynomial with a negative leading coefficient?

• Both ends point up

• Ends point in the same direction

• Both ends point down

• Ends point in opposite directions

How is the right behavior of a graph with a positive leading coefficient written in advanced notation?

• As x approaches negative infinity, y approaches positive infinity

• As x approaches positive infinity, y approaches positive infinity

• As x approaches positive infinity, y approaches negative infinity

• As x approaches negative infinity, y approaches negative infinity

What is the end behavior of an even degree polynomial with a positive leading coefficient?

• Both ends point up

• Both ends point down

• Ends point in the same direction

• Ends point in opposite directions