Jeopardy Project AP Precal

Unit 1A

100

This variable is the input and independent variable.

h(t)

What is t?

200

This is the equation for finding the average rate of change.

What is y₂-y₁/x₂-x₁?

300

This is the leading coefficient and degree of this polynomial.

f(x)=5x³ - 9x2 + x⁷ - 3x⁸

What is leading coefficient: -3 and degree: 8?

400

This function is either even, odd, or neither.

f(x)= 2x¹⁰+x⁶-7x²-2

What is even?

500

This is the intervals for this polynomial function.

a(x)= x(x-8)³(x+3)⁴. When is a(x) ≥ 0?

What is a(x) ≥ 0 on the interval (-∞] U [8,∞)?

Unit 1B

100

Find the horizontal asymptote of the following rational function if one exists.

f(x)= x-1/x

What is y=1?

200

This is the hole of the rational function.

f(x)=x²+3x/x²-9

What is x=-3?

300

This is the domain of the function.

g(n)=n²-4/(n+3)(n-7)

What is domain:(-∞,-3) U (-3,7) U (7,∞)?

400

This is the domain and the vertical asymptotes of the rational function.

h(x)= x³-3x²/x²+8x+15

What is domain:(-∞,-5) U (-5,-3) U (-3,∞) and vertical asymptotes: x=-3 and 5?

500

These are the domain, hole(s), zero(s), vertical asymptote(s), horizontal asymptote, and y-intercept of the rational function.

f(x)=t³-2t²/t²+3t-18

What is 

domain: (-∞, -6) U (-6,3) U (3,∞)

holes: none

zeros: x=0 and x=2

vertical asymptotes: x=-6 and x=3

horizontal asymptote =none

y-intercept: h(0)=0/-18 =0

Unit 2A

100

This is what the nth term of an arithmetic sequence is given by.

What is an=a₀+dn?

200

This exponential function is either growth or decay.

f(x)=0.2(1.3)^x

What is exponential growth?

300

This function represents either a linear function, exponential function or neither.

(2,1), (3,4), (4,16)

What is exponential?

400

Create a function to model the scenario.

A population 𝑝 of fruit flies increases by 14.34% each day 𝑑. There were 20 fruit flies in the house when you left.

What is p(d)=20(1.1434)^d?

500

Let f(x)=4^x and g(x) =x-x².

Find g(f(1/2)).

What is -2?

Unit 2B

100

If log_aB=log_aC

Then...

What is B=C?

200

This is the change of base formula.

What is log₁₀x=log_ax/log_ab?

300

Rewrite the following exponent as a logarithm.

16^5/2=1024

What is log₁₆1024=5/2?

400

Determine if f(x) and g(x) and inverses.

f(x)=2 x log₂x

g(x)=2^2x

What is NOT inverses?

500

Find the inverse of the function.

j(x)=2e^x+8-5

What is ln(x+5/2)-8=y?

Unit 3A & 3B

100

This is cos(𝝅/2).

What is 0?

200

This is a period.

What is 2𝝅/b?

300

This is the formula of a limaçon.

What is r=a±bcos(θ)?

400

Simplify the function.

4sin(2x)

What is 8sinxcosx?

500

Convert the rectangular complex number to polar form.

3+4i

What is 5[cos(0.927)+isin(0.927)]?