The Graph of Polynomials

What are the relative maximums of this graph?

• (-3, 2) & (-1, 3)

• (-3, 2) & (2, 1)

• (2, 1) & (4, -1)

• (-1, -3) & (4, -1)

The blue dot on this graph represents a(n)...

• Absolute Maximum

• Absolute Minimum

• Local Maximum

• Local Minimum

What could be the equation for this graph?

• y = (x + 2)(x - 1)(x - 3)(x + 6)

• y = (x - 2)(x + 1)(x + 3)

• y = (x + 2)(x - 1)(x - 3)

• y = (x + 2)(x - 1)(x - 3)(x - 6)

How many extrema (maxes and mins) are in the picture?

• 2

• 3

• 4

• 5

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

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

Match the graph to the function

• f(x) = -2x⁶+9x²

• f(x) = x⁶-7x⁴+12x²-x-2

• f(x) = x⁶-3x³+x+2

• f(x) = -x⁶+5x⁴+3x-2

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

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