Week 12 (Exam 4 Review)

Solve for x

100

Q.6

x = -1/2 ± (√11/2)

200

Q. 7

x = -14

300

Q. 8 

x = 2 is an extraneous solution

Hence, this has no solutions

(Q.9 is a similar one- Try that!)

400

Q. 11

x = 2 is extraneous solution

So, this has no solutions

500

Q. 12

x = ±32

Asymptotes &/or Domain

100

Q.1

Not rational

Domain: x≠ -1, x≠ 0

200

Q.2

Horizontal asymptote: y=3

Vertical asymptote: x=1

300

Q.3

1/((x-3)(x+3))

Graphing

400

Q.4

x-int. = (-0.5, 0)

y-int. = (0, -0.5)

Horizontal asymptote: y = 2

Vertical asymptote: x = 2

Hole: x = 2

500

Q. 16

Simplifying gives us y = x² + 2

Plotting it gives us a parabola (opening up) whose vertex is at (0,2)

Evaluating

100

Q.14 (1, 3)

1) 3

3) 4

200

Q.14 (2, 4)

2) DNE

4)-4

300

Q. 14 (5, 6)

5) 2

6) 4

400

Q. 10

27

Rewriting expressions using rational exponents

100

Q.15 (1)

t^1/2

200

Q.15 (2)

(x+1)^1/3

300

Q.15 (3)

(x+1)^-1/2

400

Q.15 (4)

x^-7/3