Precalculus Final Exam Review Game

Trigonmetry

100

Complete the identity: ______ + 1 = cot² x

csc² x

200

Solve on [0, 2pi): sec x + 2 = 0

2pi/3, 4pi/3

300

In the interval [0, pi) where would find the asymptote for tan(2x) 

pi/4

400

Evaluate arccos (-2)

not possible

500

In Quadrant III, Solve for θ when 2sin²(θ) = 1

no triangles possible

Evaluate

100

log₂ (1/8)

-3

200

ln (e⁷)

7

300

sin (pi)

0

400

arccos (1)

0

500

arcsin (-1/2)

-pi/6

Equations

100

Solve on [0, 2pi): tanx = -1

x = 3pi/4, 7pi/4

200

Solve: 4^(x+3) = 16^(5x)

x=1/3

300

(e^(x+5))² = e⁸

x = -1

400

Solve: log₂(x+3) = 5

x=29

500

Solve on [0, 2pi): 2sin²(x) - 3sin(x) + 1 =0

x = pi/6, 5pi/6, pi/2

Graphing

100

Is this graph of this function increasing or decreasing? f(x)=4^(-x)

decreasing (because equivalent to f(x)=(1/4)^x)

200

State the vertical asymptotes of this function: x / (x²-3x+2)

x=2, x=1

300

State the horizontal asymptote of this function: (3x²)/(x³ - 4x +3)

y=0

400

Describe the right end behavior of f(x) = −4x³ + 5x² − x + 2

negative infinity

500

As x decreases without bound, what value does the function 2x²/(x-3)(x+2) approach?

2

Potpourri

100

What is an Archipelago 

A group of islands

200

What Cosmologist formulated a heliocentric cosmology

Nicolaus Copernicus

300

What is the 47th State to be admitted into the Union

New Mexico

400

Which body organ produces insulin

The Pancreas

500

What modern country includes the ancient region of Mesopotamia?

Iraq