# eQuizShow

## Pre-calculus Final Review

### Algebra/Geometry Review

Question:                      FACTOR

2x3 + 192 - 128x - 3x2

(2x -3)(x + 8)(x - 8)

Question:                             Factor:

64x3 - 1

(4x - 1)(16x2 + 4x + 1)

Question:                    SIMPLIFY:

2x2 - 3x - 20
2x3 - 32x

2x + 5_

2x(x + 4)

Question:                  Solve for x:

√(2x - 5) = x - 4

x = 7

Question:                  Find the radius of the circle with equation

x2 + y2 + 4x - 12y - 9 = 0

r = 7

### Functions

Question:
Given f(x) = |3x + 5| and g(x) = x2 + 4x, find f(g(x)).

f(g(x)) = |3x2 + 12x + 5|

Question:

Find the inverse of h(x) = x3 + 7

h-1(x) = ∛(x - 7)

Question:
Find the domain
f(x) = x + 6
x2 - 16

(-∞,-4)U(-4,4)U(4,∞)

Question:                       Describe the transformation for the function

f(x) = - 2(x -  4)3 + 2

4 units to the right, reflect over x-axis,
vertical stretch of 2 and shift up 2 units

Question:              Find the intervals of increasing for the function
(round to nearest hundredth)

f(x) = x3 + 2x2 - 6x - 12

(-∞,-2.23) U (.90,∞)

### Logs

Question: Write the following as a log equation:

30 = 3x

log3 30 = x

Question:                  Solve for x:

2x - 3 = 32x + 5

x = - 7

Question:                      Solve for x:

log4(x - 2) = 3

x = 66

Question:                    Solve for x to the nearest integer:

1200=350e.03x

x = 41

Question:                       Solve for x:

log(x + 6) + log(x + 2) = log(24 + 3x - x2)

x = 1.5

### Trigonometry

Question:    In triangle ABC, side a = 13, side b = 9 and m<A = 62 degrees.

Find the measure of angle C to the nearest degree.

80 degrees

Question:                         Find the exact value:

tan 120o

- √(3)

Question:                Solve for all values of x where 0 ≤ x < 1800

2sin2θ + 3 = 7sinθ

θ = 150o,30o

Question:

Given  cosx = 3/5, find the exact value of cos2x.

- 7 /25

Question:                                Convert to polar coordinates.

(-2, 2)

(2√2, 135o) or (-2√2, 315o)

### Wild

Question:

Simplify:        -13i + 14i15

- 27i

Question:             Find the vertical asymptote(s) for

r(x) = x + 4
x2 - 16

x = 4

Question:                       Is this function odd, even or neither?

f(x) = x3 + 2x2 + 4x

NEITHER

Question:                              DAILY DOUBLE!!!!!!!!!!!!!!

Find all zeros for the function

P(x) = x3 + 5x2 + 7x + 2