Exploring Power Functions and Their End Behavior

What is the simplest form of a power function?

• y = x^n

• y = x - n

• y = x + 1

• y = x/n

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

• It is the same shape.

• It is wider and has a rounder bottom.

• It is narrower and has a flatter bottom.

• It is wider and has a steeper bottom.

What happens to the shape of even power functions as the power increases?

• The bottom becomes flatter and the sides become steeper.

• The bottom becomes rounder and the sides become steeper.

• The bottom becomes flatter and the sides become wider.

• The bottom becomes rounder and the sides become wider.

What is the end behavior of an even power function as x approaches negative infinity?

• y approaches negative infinity

• y approaches zero

• y approaches positive infinity

• y remains constant

What is the basic shape of an odd power function like y = x^3?

• It goes down on the right and up on the left.

• It goes up on both sides.

• It goes up on the right and down on the left.

• It goes down on both sides.

How does the shape of y = x^5 compare to y = x^3?

• It is wider and has a steeper middle.

• It is the same shape.

• It is narrower and has a flatter middle.

• It is wider and has a rounder middle.

What happens to the shape of odd power functions as the power increases?

• The middle becomes rounder and the sides become wider.

• The middle becomes flatter and the sides become wider.

• The middle becomes flatter and the sides become steeper.

• The middle becomes rounder and the sides become steeper.

What is the degree of a polynomial with the lead term -4x^7?

• 4

• 7

• 3

• 10

What is the end behavior of a polynomial with a negative lead term and an odd degree?

• Down on the right, up on the left

• Down on both sides

• Up on the right, down on the left

• Up on both sides

What is the end behavior of a fourth power function with a negative coefficient?

• Up on the right, down on the left

• Down on both sides

• Down on the right, up on the left

• Up on both sides