Complex Numbers
Polynomial Functions
Rational Functions
Exponential & Logarithmic Functions
Trig Functions
100

Evaluate i^657 without a calculator.

i

100

Determine the vertex and end behavior of the following quadratic function.

f(x) = -2x^2 + 4x - 1


Vertex: (1, 1)

End Behavior: Fall to the left, Fall to the right

100

Find the domain of the following function

f(x) = (4 - 2x)/(3x - 1)

(- infinity, 1/3) U (1/3, infinity)


100

Find f(-1) given the following exponential function. 

f(x) = -4^(2x + 3)


-4

100

Convert 11pi/9 radians to degrees.

220 degrees

DOUBLE JEOPARDY!!

200

Perform the indicated operation for complex numbers and express your answer in a + bi form. 

(2 - 3i)(3 + 6i)

24 + 3i

200

Determine the possible number of positive and negative real zeros.

f(x) = βˆ’π‘₯^4βˆ’3π‘₯^3+6π‘₯^2βˆ’4π‘₯βˆ’12

2 or 0 positive real zeros

2 or 0 negative real zeros

DOUBLE JEOPARDY!!

200

Find the x and y intercepts

f(x) = (x + 5)/(x^2 + 4)

x- intercept: (-5, 0)

y- intercept: (0, 5/4)

200

Solve for x by converting the logarithmic equation to exponential form.

log_3 (x) = 3

x = 27


200

Convert 110 degrees to radians.

11pi/18 radians

300

If f(x) = 2x^2 + x - 3, find f(2i)

-11 + 2i

300

Find all zeros and their multiplicity

f(x) = (x^2 + 2x + 1)(2x - 5)^3

x = 5/2, multiplicity 3

x = -1, multiplicity 2

300

Find the horizontal and vertical asymptotes

f(x) = (-2x + 4) / (3x - 1)

Horizontal Asymptote: y = -2/3

Vertical Asymptote: x = 1/3


300

Solve the equation 

5log_7 (x) = 10

x = 49

300

State the coterminal angle for 13pi/4 radians

5pi/4 radians

400

Perform the indicated operation for complex numbers and express your answer in a + bi form. 

(3 + 4i) / (2 - i)

2/5 + 11i/5

400

Divide the following polynomials using synthetic or long division. 

(π‘₯^4 βˆ’ 8π‘₯^3 + 24π‘₯^2 βˆ’ 32π‘₯ + 16) Γ· (π‘₯ βˆ’ 2)

π‘₯^3 βˆ’ 6π‘₯^2 + 12π‘₯ βˆ’ 8

400

Find the x and y intercepts, and vertical/horizontal asymptotes.

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

x-intercept: (1, 0), (3, 0)

y-intercept: (0, -3/5)

Horizontal Asymptote: y = 1

Vertical Asymptote: x = 5, x = -1

400

State the domain, range, horizontal asymptote. and y-intercept for the given exponential function. 

f(x) = 2^x + 3

Domain: (-infinity, infinity)

Range: (3, infinity)

Horizontal Asymptote: y = 3

y-intercept: (0, 4)

400

Find the length of the arc of a circle of radius 12 miles subtended by the central angle of 140 degrees.

(Exact answers)

28pi/3 miles

500

If f(x) = (x + 1) / (2 - x), evaluate f(5i). Write your answer in a + bi form.

-23/29 +15i/29

500

Find all zeros of the following polynomial.

f(x) = π‘₯^3 βˆ’ 8π‘₯^2 + 25π‘₯ βˆ’ 26

x = 2, 3 + 2i, 3 - 2i

500

Find the slant asymptote. 

f(x) = (6x^3 - 5x) / (3x^2 + 4)

y = 2x

500

State the domain, range, vertical asymptote and x- intercept of the given logarithmic function

f(x) = log_4 (x - 1) + 1

Domain: (1, infinity)

Range: (-infinity, infinity)

Vertical Asymptote: x = 1

x-intercept: (5/4, 0)

500

Find the area of a sector of a circle that has a central angle of 30Β° and a diameter of 40 cm.

(Round to two decimal places)

104.72 cm^2

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