A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞)...
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Transcript of A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞)...
A Library of Parent Functions
The Constant Parent Function
• Equation: f(x) = c• Domain: (-∞,∞)• Range: [c]• Increasing: None• Decreasing: None• Constant: (-∞,∞)• Symmetry: y-axis
The Linear Parent Function (Identity)
• Equation: f(x) = x• Domain: (-∞,∞)• Range: (-∞,∞)• Increasing: (-∞,∞)• Decreasing: None• Constant: None• Symmetry: Origin
The Absolute Value Parent Function
• Equation: f(x)• Domain: (-∞,∞)• Range: [0,∞)• Increasing: (0,∞)• Decreasing: (-∞,0) • Constant: None• Symmetry: y-axis
The Quadratic Parent Function (Squaring)
• Equation: f(x)x2
• Domain: (-∞,∞)• Range: [0,∞)• Increasing: (0,∞)• Decreasing: (-∞,0) • Constant: None• Symmetry: y-axis
The Cubic Parent Function
• Equation: f(x) = x3
• Domain: (-∞,∞)• Range: (-∞,∞)• Increasing: (-∞,∞)• Decreasing: None• Constant: None• Symmetry: Origin
The Square Root Parent Function
• Equation: f(x)• Domain: [0,∞)• Range: [0,∞)• Increasing: (0,∞)• Decreasing: None• Constant: None• Symmetry: None
The Reciprocal Parent Function (Rational, Inverse)
• Equation: f(x) = • Domain: (-∞,0)U(0, ∞)• Range: (-∞,0)U(0, ∞)• Increasing: None• Decreasing: (-∞,0)U(0, ∞)• Constant: None• Symmetry: Origin
The Exponential Parent Function
• Equation: f(x) = 2x
• Domain: (-∞,∞)• Range: (0,∞)• Increasing: (-∞,∞)• Decreasing: None• Constant: None• Symmetry: None