Graphing Polynomials Review

End Behavior

100

What is the end behavior of the function:

y=3x^5-x^4+7x^3+15

Down and Up

200

What is the end behavior of the function:

y=(2x+1)(x+2)(x-3)^2

Up and Up

300

What is the end behavior of the function:

y=-2x(x+4)(2x-1)^3

Up and Down

400

What is the end behavior of the function:

y=-3x^3(x+1)(2x-4)^2

Down and Down

X-Intercepts

100

Find the x-intercepts:

y=(x-1)(x+4)^2

(1,0) and (-4,0)

200

Find the x-intercepts:

y=2x(x+1)(2x-5)^3

(0,0) , (-1,0) , and (5/2,0)

300

Find the x-intercepts:

y=6x^3+x^2-2x

(0,0) , (1/2,0) , and (-2/3,0)

400

Find the X-intercepts:

y=-5x(x-3)(7x+4)(5x-2)^2

(0,0), (3,0), (-4/7,0), and (2/5,0)

Zeros and Multiplicities

100

Find each zero and its multiplicity:

y=(x-2)^3(x+1)(2x-1)

x=2 with M: 3

x=-1 with M: 1

x=1/2 with M: 1

200

Find each zero and its multiplicity:

y=-5x^2(2x+1)(x-2)^3

x=0 with M: 2

x=-1/2 with M: 1

x=2 with M: 3

300

Find each zero and its multiplicity:

y=2x(3x+1)^2(x-7)^5

x=0 with M: 1

x=-1/3 with M: 2

x=7 with M: 5

400

Find each zero and its multiplicity:

y=-2x^5(x-1)(3x-5)^2

x=0 with M: 5

x=1 with M: 1

x=5/2 with M: 2

Y-Intercept

100

Find the y-intercept:

y=(x+4)(x-2)^2

(0,16)

200

Find the y-intercept:

y=-3(2x-1)^2(x+2)^3

(0,-24)

300

Find the y-intercept:

y=x(x-1)^3(3x-1)^2

(0,0)

400

Find the Y-Intercept:

y=2(x-1)^3(4x+1)(x-5)^2

(0, -50)