Walker Test 4

Rational Functions

100

What is an asymptote?

A line that the function approaches but never touches

200

DOUBLE JEOPARDY

What are the 3 rules for identifying HORIZONTAL asymptotes?

Top Heavy: None

Bottom Heavy: y=0

Same: Create a fraction using leading coefficients

300

How do you find vertical asymptotes?

Set the denominator equal to zero and solve

400

Find the vertical asymptote:

1/(x²-4)

x = 2, x = -2

500

DOUBLE JEOPARDY

Find both horizontal and vertical asymptotes:

3x/(x²-4)

HA: y = 0

VA: x = 2, x = -2

Rewriting Logs

100

What are the 3 properties of logarithms?

1. Product Rule

2. Quotient Rule

3. Power Rule

200

Condense into a single logarithm:

4 Log 6 + 3 Log 7

Log (6⁴ * 7³)

300

DOUBLE JEOPARDY

Expand into multiple Logarithms

Log 10² * 20⁵

2 Log 10 + 5 Log 20

400

DOUBLE JEOPARDY

Condense into a single logarithm:

2 Log 5 + 3 Log 6 - Log 8

Log (5² * 6³ / 8)

500

Expand into multiple Logarithms

Log 10² * 20⁵ / 4⁴

2 Log 10 + 5 Log 20 - 4 Log 4

Solving Exponentials

100

What are the 3 steps to solving exponentials with logarithms?

1. Log both sides

2. Power Rules

3. Solve for x

200

DOUBLE JEOPARDY

Solve

8^(x+2) = 12

(Log 12/Log 8) - 2

300

Solve 

3^x = 33

Log 33/Log 3

400

DOUBLE JEOPARDY

4^(2x-2) = 7

(Log 7/2 Log 4) + 2

500

10^(4x-6) =17

Log 17/4 Log 10 + 6

Trivia

100

What does FANBOYS stand for?

Conjunctions

For And Nor But Or Yet So

200

DOUBLE JEOPARDY

What was the first sport played on the moon?

Golf

300

DOUBLE JEOPARDY

What year did Mr. Walker graduate college?

December 2023

400

What MCU character is slated to have his FIRST movie appearance in July, 2026  

Frank Castle, The Punisher

500

What college football player single handedly had 572 yards of offense in a single game?

Tavon Austin (West Virginia)

21 Carries 344 Yards, 2 TDs

4 Rec. 84 yards

Video Games

100

DOUBLE JEOPARDY

Which PlayStation platformer released in 1996 has you play as an animal who was captured (and mutated) by Dr. Neo Cortex?

Crash Bandicoot

200

What Marvel Character was the first to be introduced in Fortnite?

Thanos

300

What Mario Game released in 2017 on the Nintendo Switch?

Super Mario Odyssey

400

(Fortnite OG Seasons 1-10)

What Location has been in the game since the launch?

Pleasant Park

500

DOUBLE JEOPARDY

Name 5 minor villains that appear in the Batman Arkham Games

ANSWERS MAY VARY