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100

Find Domain, Range, and determine if the relation is a function or a one to one function:

{(-1, 4), (-1, 9), (-1, 15), (-1, 0)}

D: {-1}

R: {0, 4, 9, 15}

It is Not a function

100

Describe the transformation of:

f(x) = -(x + 4)3 -7

the cubic function, left 4, down 7, with a vertical reflection.

100

Find the vertex:

f(x)= (x+2)2-9

(-2, -9)

100

Identify the zeros, the multiplicity, and effect on the graph:

f(x) = 3x3 (x + 1)2 (x -8)

Zeros   Multip   Effect

  0            3         Point of inflec 

-1           2          Max/min

8             1          Linear

100

What is the product rule of logarithms 

logb(mn) = logbm + logbn

200

Given (-5, 7) and a slope of -2, write an equation in slope intercept form.

f(x) = -2x - 3

200

Write the absolute value function with a vertical compression by a factor of 1/3, shifted one unit up, and right 2 units.

f(x) = 1/3 |x - 2| + 1

200

C      Write in vertex form:

f(x)= x2 + 16x + 63

f(x)=(x + 8)2 -1

200

C    Find the quotient:

(8n3 - 36n2 - 15n - 16)/(n - 5)

8n2 + 4n + 5 + 9/(n-5)

200

Write in logarithmic form:

6x-3 = 32

log6 32 = x - 3

300

Solve:

5x - 4y = 9

x + 7y = -6

(1, -1)

300

Convert to standard form:

f(x) = 2(x + 1)2 - 9

f(x) = 2x2 + 4x - 7

300

Solve:

(x - 4)2 - 7 = 25

4 + 4 √ 2

4 - 4 √ 2

300

Solve:

0 = 2x4 - 48x2

x = 0, 2√6, -2√6

300

Expand the expression:

log4 √(p3q10)

2/3 log4 p + 5 log4 q

400

C  Solve:

10x + 7y - 2z = 46

3x - 2y + 9z = 22

5x + y - 3z = 28

(6, -2, 0)

400

What are the increasing intervals for:

f(x) = - √(x+4) - 5

Never

400

C    Solve:

-x2 + 4x = 11

-2 + √ 21

-2 - √ 21

400

C    Use a cubic function to estimate when x = -8

x | -4    |  0  |  4 |   8    |  12

y | 975 |128 | -9 | -160 | -893

3129.87

400

Solve:

ln (p2 - p) = ln (8p - 20)

p = 4, 5
500

C  A collection of nickels & dimes is worth $9.45. If the number of dimes is doubled the value is $16.65. Find the number of each coin.

45 nickels and 72 dimes

500

Find the domain of:

f(x) = 2 √(x) - 5

[0, infinity)

500

C     Find the maximum height in feet of the toy rocket given by its function, and at what time in seconds it occurs.

h(t) = -16t2 + 28t + 17

The toy rocket is 29.25 ft high at .875 seconds.

500

The graph of a polynomial function has zeros of 0 (multiplicity of 2), 1 (multiplicity of 3), and 5/2 (multiplicity of 1). Write a function in factored form that could represent this function. 

f(x) = x2 (x - 1)3 (2x - 5)

500

C     Austin moved $40,000 of his savings to a new investment account that earns 4% interest compounded quarterly. Write the function to model the account then find how much interest Austin earns in 12 years.

A(t) = 40000 ( 1+ .04/4)4t

Austin earns $24,489.04 in interest after 12 years.