Calc A Unit 2 Review

Find/Name discontinuities

100

y=(x+5)/((x-1)(x+5)

Disc: x=1,N Rem VA

Disc: x=-5, Rem Hole pt (-5, -1/6)

200

y=(x^2-10x)/(x^2-100)

Disc: x=-10 N Rem VA

Disc : x=10 Rem Hole  pt(10,1/2)

300

y=(x^2+x-6)/(3x^2-12)

Disc: x=-2, N Rem VA

Disc: x=2, Rem Hole pt (2, 5/12)

400

y=(12x^4+10x-3)/(3x^4)

Disc: x=0, N Rem VA

500

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

Disc: x=3,N Rem VA

Disc: x=-1, Rem Hole pt (-1, 0.5)

Find all asymptotes

100

y=6/(x+9)

VA : x=-9

HA : y=0

200

y= (6x)/(x-3)

VA : x=3

HA: y=6

300

y=(2x^2-10)/(x^2-x-12

VA:  x=4, x=-3

HA:  y = 2

400

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

VA:  x=2, x=-2

HA:  y = 3

500

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

VA:  x=1, x=-5

HA:  None

Simplify :Mult/divide

100

((x+1)(x-5))/(x(x+1)) * (x(x+6))/(x-5)

x+6

200

(x^2-16)/(x-3) * (2x-6)/(x^2+9x+20

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

300

3/(x-6) divide (9)/(4x-24)

4/3

400

((x-3)/(x+4))/((x^2+3x-18)/(x^2+4x)

(x)/(x+6)

500

(6x^3+2x^2)/(x+3)-:(3x+1)

(2x^2)/(x+3)

Simplify: Add/Sub

100

3/(x^2-25) +(2x)/(x+5)

(2x^2-10x+3)/((x+5)(x-5)

200

(6)/(x+2)-(x-4)/x

(-x^2+8x+8)/(x(x+2)

300

(x-1)/(x-2)-(x^2+4x-4)/(x^2+4x-12)

1/(x+6)

400

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

(3(x^2-x-7))/((x-3)(x+3)

500

1/(x+1)-x/(x-2)+(x^2+2)/(x^2-x-2)

0

Solve for x

100

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

5/8

200

2/(x+2)+2/(x+4)=x^2/(x^2+6x+8)

x=6 only ( x=-2 doesn't check)

300

3/(x^2-6x-9)+(x-2)/(3x-9)=x/(2x-6)

x=-6 and x=5

400

6/(x^2-2x-3)-1/(x^2-1)=2/(x^2-4x+3)

x=5/3

500

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

No Solution

FACTOR

100

x^2-10x

x(x-10)

200

9x^2-100

(3x-10)(3x+10)

300

x^2-x-12

(x-4)(x+3)

400

6x^2+19x+10

(3x+2)(2x+5)

500

4x^2-35x+49

(x-7)(4x-7)