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A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)

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Presentation on theme: "A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)"— Presentation transcript:

1 A Library of Parent Functions

2 The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞) Symmetry: y-axis

3 The Linear Parent Function (Identity) Equation: f(x) = x Domain: (-∞,∞) Range: (-∞,∞) Increasing: (-∞,∞) Decreasing: None Constant: None Symmetry: Origin

4 The Absolute Value Parent Function

5 The Quadratic Parent Function (Squaring)

6 The Cubic Parent Function Equation: f(x) = x 3 Domain: (-∞,∞) Range: (-∞,∞) Increasing: (-∞,∞) Decreasing: None Constant: None Symmetry: Origin

7 The Square Root Parent Function

8 The Reciprocal Parent Function (Rational, Inverse)

9 The Exponential Parent Function Equation: f(x) = 2 x Domain: (-∞,∞) Range: (0,∞) Increasing: (-∞,∞) Decreasing: None Constant: None Symmetry: None


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