Trig
Rational Functions
Polynomial Properties
Misc.
100

In which quadrants is cosine negative?

2 and 3

100

Simplify f(x) = (x2 + 5x + 6)/(x2 +2x - 3).

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

100

Simplify: (x2-1)(x+3)

x3+3x2-x-3

100

Solve: 4(x - 1) + 2 = 6(x+2) 

x=-7

200

Convert pi/4 to degrees.

45 degrees

200

Simplify (x3+6x2+5)/(x2-3x-4)

x(x+5)/(x-4)

200

Find the zeros of f(x) = 4x3 + 14x2 + 6x.

x = 0, x = -1/2, x = -3

200

Evaluate log2(1/16)

-4

300

A triangle has side lengths 3, 4 and 5. What is cosine of the smallest angle?

4/5

300

Multiply and simplify: (x-5)/(x4-2x3) times (x2-4)/(x2-3x-10)

1/x3

300

Classify the polynomial by degree and number of terms:

f(x) = 6x3 - 4x

cubic binomial

300

Find the zeros using the quadratic formula: f(x) = -2x2 + 3x + 2

x = 2, -1/2

400

Explain why sin(x) = 1/2 has two solutions for x.

Sine is positive in the first and second quadrant.

400

Where is x undefined in the function f(x) = (x2-36)/(8x+24)

When x = -3

400

What is the y-intercept of f(x) = 2(x-1)(x+2)?

(0, -4)

400

Simplify (4x2y3/2x5y)2

4y4/x6

500

From the observation deck of a skyscraper, Christian measures a 51 degree angle of depression to a ship in the harbor below. If the observation deck is 1129 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.


About 914 feet

500

Where does the hole occur in the following function:

f(x) = (x2 - 5x)/(-3x2 - 15x)

(0, 1/3)

500

Describe the end behavior for the function f(x)=-3x4

As x goes to negative infinity, f(x) goes to negative infinity. As x goes to infinity, f(x) goes to negative infinity.

500

Find the inverse of y=6x1/3 - 2.

y-1=(x+2/6)3