Multiply Function Game (Evaluate)

Multiply Function Game (Evaluate)
This game will require you to evaluate two functions given the input value and multiply the results. Scroll down for a detailed explanation.
 

 

How to Play the Multiply Function Game (Evaluate)

1. Identify the Two Functions
   At the top of the card, you’ll see two mathematical functions:
   f(x) (Indigo): Could be linear (2x), quadratic (x²), or absolute value (|x|).
   g(x) (Emerald): A second function with its own unique rule.
   

2. Find the Target Value
   Look for the Target Input box (e.g., x = 3). This is the number you need to plug into both functions.
   

3. Calculate and Multiply
   The operation (f · g)(x) simply means: Find the result of f(x), find the result of g(x), then multiply them together.
   

A Step-by-Step Example
Given:
f(x) = x² + 1
g(x) = 2x - 3
Target: x = 2

Step 1: Solve f(2)
2² + 1 = 4 + 1 = 5
Step 2: Solve g(2)
2(2) - 3 = 4 - 3 = 1
Step 3: Multiply them
5 × 1 = 5
Your Answer: 5

Tips
**Absolute Values: **
Remember that |-3| becomes 3. If the function is -2|x|, and x = 3, the result is -2 × 3 = -6.
Quadratic Order:
Always square the number before multiplying by the coefficient. For 3x² where x=2, calculate 2²=4 first, then 4 × 3 = 12.
Zeroes:
If either f(x) or g(x) results in 0, the final answer is always 0.

This video gives a clear, step-by-step approach to multiply functions (evaluate).

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