__Chapter8__

8.1

100

Find the asymptotes

 (x+7)/(x^2-3x-28)

x=7,0,-4

200

(27x)/(16y)*(8z)/(9x)

(3z)/(2y)

300

(a^2-b^2)/(3a^2-6a+3)÷(4a+4b)/(a^2-1)

(a-b)(a+1)/12(a-1)

400

(x^2-9)(x^2-z^2)/4(x+z)(x-3)

(x+3)(x-z)/4

500

[(x-2)^2/2(x^2-5x+4)]/[(x^2-4)/(4x-10)]

(x-2)(2x-5)/(x-4)(x-1)(x+2)

8.2

100

16x,8x^2y^3,5x^3y

80x^3y^3

200

3y^2-9y,y^2-8y+5

3y(y-3)(y-5)

300

(5)/(6b)+(3b^2)(14a)

(35a+9b^3)/(42ab)

400

(4x)/(x^2+9x+18)+(5)/(x+6)

(9x+3)/(x+6)(x+3)

500

(3a+2)/(a^2-16)-(7)/(6a+24)

(11a+40)/(6)(a+4)(a-4)

8.3 & 8.4

100

Domain and range of (2)/(x-6)

D:(-&,6)(6,&)

R:(-&,0)(0,&)

200

Domain and range plus asymptotes of [(-6)/(x+4)]-2

X=-4

Y=-2

D:(-&,-4)(-4,&)

R:(-&,-2)(-2,&)

300

Aymptotes and zeros of (x^4-2)/(x^2-1)

Z:    2^(1/4)

VA: -1,1

400

Aymptotes and zeros of (x^2+x-12)/(x+4)

Z:  -3,4

VA: -4

SA:x-4

500

Asymptotes and zeros of (X^3)/(8x-4)

Z: 0

VA:1/2

8.5

100

x varies directly as x=6 when y=32

x=? When y=8

x=1.5

200

x varies directly as x=14 when y=-2

x=? When y=8

X=-56

300

a varies jointly as a=-60 b=-5 c=4 

a=? b=4 c=-3

a=-36

400

a varies jointly when a=24 b=8 c=12

a=? b=4 c-3

a=-3

500

f varies inversely as f=15 when g=-6

f=? g=-6

135/-6

8.6

100

[(2/x+3)]+[(3/2)]=[(19/10)]

X=2

200

[(10)/(2x+1)]+[(4/3)]=2

x=7

300

[(8/×-5)]-[(9/x-4)]=[(5)/(x^2-9x+20)]

X=8

400

[(14/x-8)]-[(5/x-6)]=[(82)/(x^2-14x-48)]

X=14

500

[(5/x)]+[(6/5x)]>[(2/3)]

X<9.3