Unit 3 · Class 10 IB MYP · Formula Sheet
Functions & Graphs Formulas — Class 10 IB MYP
Analyze domain, range, and transformations of polynomial, rational, and exponential functions.
Key Formulas
Quadratic Vertex
\left(-\dfrac{b}{2a}, f\left(-\dfrac{b}{2a}\right)\right)
Exponential Growth
y = a \cdot b^x, \quad b > 1
Exponential Decay
y = a \cdot b^x, \quad 0 < b < 1
Domain & Range
\text{Domain: set of inputs}, \quad \text{Range: set of outputs}
Inverse Function
f(f^{-1}(x)) = x
Composite Function
(f \circ g)(x) = f(g(x))
Worked Examples
1Using: Application
Apply the key formula from this topic to a sample problem.
Step 1: Identify the formula.
Step 2: Substitute the values.
Step 3: Simplify to get the answer.
Answer: See solution above
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