Classifying/Zeros
Given the function, classify by degree and number of terms:
x3+2x
Cubic
Binomial
Given the function, find the vertical asymptote(s)
(x3-2x2+8x)/(x+9)
VA @ x=-9
Factor the function into simplest terms
(x2+8x-20)/(x-1)
[(x+10)(x-2)]/(x-1)
Given the function, simplify the function into lowest terms
(2x+6)/(x2+5x+6)
2/(x+2)
Given the figure, what are the x-intercepts
x-intercepts: x=-2, 3
Given the function, classify by degree and number of terms:
x2-7x4+5
Quartic
Trinomial
Given the function, find the horizontal asymptote
(x3-9x2+5x-1)/(x5+4x)
HA @ y=0
Factor the function into simplest terms
(x3+x2-6x)/(x2-16)
[x(x+3)(x-2)]/[(x+4)(x-4)]
Using the function, identify the coordinate point of the hole
(2x+6)/(x2+5x+6)
Hole @ x=-3, y=-2
(-3,-2)
Given the figure, what are the factors given the x-intercepts
(x+2)(x-3)
Given the function, classify by degree and number of terms:
(x3-3)/(x^4+2x)
Not a polynomial function
Given the function, find the vertical asympote(s)
(x2-x+8)/(x3-x2-6x)
VA @ x=0, 3, -2
Factor the function into simplest terms
(x3+5x2+4x)/(-4x2+4x)
[x(x+4)(x+1)]/[(-4x)(x-1)]
What is the domain of the function?
(2x+6)/(x2+5x+6)
D: {x l x =/ -3,-2}
=/ means does not equal
Given the figure, what are the vertical and horizontal asymptotes
VA @ x=-1, 2
HA @ y=0
Given the function, classify by degree and number of terms:
x6-3x2+4x
6th degree
Trinomial
Given the function, find the horizontal asymptote
(6x4-7x2+9)/(-2x4+3x3-10)
HA @ y=-3
Factor the function into simplest terms
(7x2+5x-2)/(x+4)
[(7x-2)(x+1)]/(x+4)
Given the function, identify the coordinate point of the hole
(x2+6x+8)/(x2+3x-4)
Hole at x=-4, y=2/5
(-4, 2/5)
Given the figures, use the vertical asymptotes, create the proper factors
(x+1)(x-2)2
Given the function, classify by degree and number of terms:
x3-5x5+7x2-1
Quintic
Polynomial
Given the function, find the oblique asymptote
(-2x2+3x+1)/(x+2)
OA @ y= -2x+7
Factor the function into simplest terms
(2x2-4x+8)/(3x2-27)
[2(x-2)(x-2)]/[3(x+3)(x-3)]
Given the function, what are the x and y intercepts
(x2+6x+8)/(x2+3x-4)
x-intercept: x=-2
y-intercept: y=-2
Given the function, create the approximate proper function
[(x+2)(x-3)]/[(x+1)(x-2)2]