Objective
Navigate a rational function through all the wickets on the
coordinate plane! Use your knowledge of algebra, asymptotes, and
function behavior to find the perfect equation.
Game Setup
-
The game displays an xy-plane with x from -41 to
41 and y from -205 to 205
-
Wickets (width = 1) are placed at random positions based on your
chosen level
- Two boundary wickets are placed at x = -40 and x = 40
-
You start with 50 points and
60 seconds
Levels
- Level 1: 4 interior wickets (2 + 2×1)
- Level 2: 6 interior wickets (2 + 2×2)
- Level 3: 8 interior wickets (2 + 2×3)
- Level 4: 10 interior wickets (2 + 2×4)
How to Play
- Study the wicket positions on the graph
-
Define a rational function f(x) that passes
through all wickets
- Enter your function in the input field
- Click "Graph It!" or press Enter
- Watch as your function is graphed with clear asymptotes
Function Input Formats
Factored Form: (x-a)(x-b)/((x-c)(x-d))
General Form: (ax^2+bx+c)/(dx+e)
Examples:
(x-1)(x+2)/((x-3)(x+5))(2x^2-3x+1)/(x-4)100(x+5)(x-10)/((x-15)(x+20))
Scoring
-
✅ Success: Pass through all wickets → Keep your
score and WIN!
-
❌ Miss: Function doesn't pass through all
wickets → Lose 10 points
-
⏱️ Timeout: Don't submit within 60 seconds → Lose
10 points
- 🎮 Game Over: Score reaches 0 → You lose
Asymptotes
Your graph will clearly show vertical and horizontal asymptotes with
arrows:
-
Vertical asymptotes: Where the denominator equals
zero (function approaches ±∞)
-
Horizontal asymptotes: The value the function
approaches as x → ±∞
Tips
- 🎯 Count your wickets and plan zeros/poles accordingly
- 📐 Use factored form to place zeros at wicket x-positions
- 🔢 Adjust the numerator coefficient to scale y-values
- ⚡ Mind your asymptotes—they can't cross wickets!