Linear Functions
Polynomials & Rationals
Transformations
Logs & Eponentials
Trigonometry
100

Convert from point-slope form to slope-intercept form

y + 4 = (2/5)(x + 15)

y = (2/5)x + 2

100

Determine if the function y=x2-4

Is odd, even, or neither, support your work algebraically.

EVEN

100

Write a new function that will reflect 

y = x3

over the y-axis.

y = (-x)3

100

Evaluate log4(32)

2.5

100

Convert from radians to degrees.

15pi / 4

675 degrees

200
Solve the system of equations via substitution:


-5x + y = -2

-3x +6y = -12

x = 0

y = -2

200

Factor completely, using factor by grouping. Solve for all roots; real AND imaginary

y = 2x3 - 8x2 + 4x - 16

x = -i*root(2)

x = i*root(2)

x = -4

200

Identify the vertical shift of the function:

y - 3 = 2(x+1)2

Vertical shift up 3

200

Condense:

3log(x)+2log(y)

log(x3y2)

200

Convert from degrees to radians

1050 degrees

35pi / 6

300

Solve for x and y:

(1/3)x + 4y = 6

2x - 3y = 9

(6 , 1)

300

Determine the x-intercepts and the y-intercept of the polynomial:

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

Root: x = -3 (bounce)

Root: x = 1

y-intercept = -9

300

Identify the horizontal shift of;

y = 2*[root(x-1)] +7

Shifted 1 unit to the right.

300

What is the vertical asymptote of

log4(x+2)

x = -2

300

If sin(theta) = 9/15,

Evaluate cot(theta)

12/9

400

Find the inverse of the linear function:

y = (3x-2)/5

y = (5x + 2)/3

400

What is the domain of g(x)?

g(x) = (x-5)/(x2-4x-5)

(- inf , -1) u (-1 , 5) u (5, inf)

400

Write a new square root function with the following transformations:

Horizontal Shift - Left 2

Vertical Shift - Up 3

Reflected over the x-axis

Vertical Shrink of magnitude 1/3

-(1/3)*sqrt(x+2) +3

400
The cost of one year at St. Luke's is $53,000 and grows at 2.8% per year.  What will the cost of tuition be in 6 years?

$62551

400

The angle of elevation is 41 degrees and the distance along the ground is 17.  What's the hypotenuse?

Round to the nearest tenth

22.5

500

Determine the equation of the line parallel to the line containing A (4,4) and B (2,6), which also passes through C (0,0)

y = -x

500

Determine the interval(s) of increasing and decreasing.  Round your answer to the nearest hundredth.  State your answer in interval notation.

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

Increasing (- inf , -3) u (-1/3 , inf)

Decreasing (-3 , -1/3)

500

Identify the horizontal asymptote of f(x):

f(x) = (2x2 - 4x + 2)/(x2 - 4x + 3) + 5

y = 7

500

Solve for x in log (or LN) form:

4 + e2x+1 = 6

(ln2)/2 - 1/2
500

Evaluate at x= 2pi/3:

y = 2cos(x)+1/3

y = -2/3

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