AP Precalculus Jeopardy

Unit 1

100

The equation for the average rate of change.

What is

(y2-y1) / (x2-x1)

200

An equivalent form for

f(x) = 36 * 4^x

What is

f(x) = 6 * 2^(2x)

300

The vertical asymptote of 

(x-9)(x+3) / (x+3)(x-4)?

What is x=4?

400

The end behavior of this polynomial function

-10x³ + 9x² - 50x⁴ + 24x -12

What is when x -> infinity, f(x) = -infinity

when x -> -infinity, f(x) = -infinity

500

The leading coefficient of the third term when 

(x-4)⁴ is expanded. (hint: pascals triangle)

What is 48?

Unit 2A

100

Identify if the function is linear or exponential, and find the slope or ratio.

f(x) = 5x - 8

What is linear, slope = 5?

200

The transformations in this graph:

f(x) = 2^(4x)

What is horizontal dilation?

300

A linear or exponential function:

(8,1),(9,3),(10,9)

What is an exponential function?

400

Create a function for this problem:

30 a's, "a" increases by 45.5% per "b"

What is 

a(b) = 30(1.455)^b

500

What are the values of "a" and "d" in the function f(x)= asin(b(x+c))+d 

when the min = (3,3) and the max = (7,7)

What is a = 2 and d = 5

Unit 2B

100

Rewrite the exponent as a log:

81^1/2 = 9

What is 

Log₈₁9 = 1/2

200

The inverse function of

(1/3)x²+3

What is 

the square root of 3x - 3

300

Write this as a single logarithm:

2ln5 - 4lnx

What is ln(5²/x⁴⁾

400

Solve this inequality:

g(x) = ln(x-4)+8

What is

e^x-8+4 = g^-1(x)

500

The population in 10 years with 275,000 current people and a growth rate of 2.5%, using Pe^rt.

What is 353,107 people?

Unit 3A

100

The value of this expression: sin pi/3

What is (root 3)/2?

200

The way to find the period through a sinusoidal function.

What is 

Period = 2pi/b or 2pi/b

Or when the wave completes its cycle

300

The equation for the midline and the amplitude: 

min = -6, max = 10

What is y = 2 and amplitude = 8?

400

The frequency of this function: 

f(x) = 35sin(2(theta)) -7

What is 1/pi?

500

The measure of the angle if the radius = 6.11 and the length of the arc subtended by the angle = 30.6.

What is around 5.008 radians?

Unit 3B

100

The period of the tangential function:

f(theta) = tan(4(theta))

What is pi/4?

200

The inverse of this function: 

f(x) = 5 sin x - 3

What is f^-1(x)  = sin^-1((x-3)/5)?

300

The exact values according to the unit circle:

4-3cosx = 7

What is x = pi?

400

The value of this expression according to the unit circle:

cot (5pi)/3

What is -(root 3)/3?

500

The exact value of this trig equation:

sin(2x) sec(x) = 0

What is x = 0, pi, 2pi?