Polynomials and Their Graphs

What is the x coordinate of the absolute maximum?

• 1.5

• 3.9

• 8.8

• -60.6

• does not exist for this function

What is the x coordinate of the local maximum?

• 1.5

• 3.9

• 8.8

• -60.6

• does not exist for this function

What is value of the local maximum y value?

• 1.5

• 3.9

• 8.8

• -60.6

• does not exist for this function

What is the x coordinate of the local minimum?

• 1.5

• 3.9

• 8.8

• -60.6

• does not exist for this function

In the above graph, which root has a multiplicity of 2?

Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

• -1

• -3

• -120

• 4

Select the two descriptions that best describe the polynomial FUNction's graph.

• Even degree

• Odd degree

• Positive leading coefficient

• Negative leading coefficient

Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

Match the equation to the graph. Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-3)(x-1)³

• y = 3x³ – 2x + 1

• y=(x+1)³(x-3)(x-1)²

Is it possible for a polynomial to have NO "zeros"? Can you think of an example of an equation?

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