Polynomials on a Graph

how does a parabola look when graphed

• a slanted line

• a "U"

• a horizontal line

• a vertical line

What is the maximum of this graph?

• -3

• 2

• -1

• 4

What is the minimum of this graph?

• 2

• 4

• -3

• -1

This graph increases from...

• ( -1, 1 )

• ( 0, 4 )

• [ -1, 1 ]

• [ 0, 4 ]

What are zeros of the graph?

(a)   (b)  

• (1, 0)

• (5, 0)

• (3, -4)

• (0, 5)

• (0, 1)

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

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

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

Identify the zeros:

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

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

• Even degree

• Odd degree

• Positive leading coefficient

• Negative leading coefficient