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: (-∞,∞)...
![Page 1: A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)](https://reader038.fdocuments.in/reader038/viewer/2022100509/56649f2b5503460f94c4661c/html5/thumbnails/1.jpg)
A Library of Parent Functions
![Page 2: A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)](https://reader038.fdocuments.in/reader038/viewer/2022100509/56649f2b5503460f94c4661c/html5/thumbnails/2.jpg)
The Constant Parent Function
• Equation: f(x) = c• Domain: (-∞,∞)• Range: [c]• Increasing: None• Decreasing: None• Constant: (-∞,∞)• Symmetry: y-axis
![Page 3: A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)](https://reader038.fdocuments.in/reader038/viewer/2022100509/56649f2b5503460f94c4661c/html5/thumbnails/3.jpg)
The Linear Parent Function (Identity)
• Equation: f(x) = x• Domain: (-∞,∞)• Range: (-∞,∞)• Increasing: (-∞,∞)• Decreasing: None• Constant: None• Symmetry: Origin
![Page 4: A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)](https://reader038.fdocuments.in/reader038/viewer/2022100509/56649f2b5503460f94c4661c/html5/thumbnails/4.jpg)
The Absolute Value Parent Function
• Equation: f(x)• Domain: (-∞,∞)• Range: [0,∞)• Increasing: (0,∞)• Decreasing: (-∞,0) • Constant: None• Symmetry: y-axis
![Page 5: A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)](https://reader038.fdocuments.in/reader038/viewer/2022100509/56649f2b5503460f94c4661c/html5/thumbnails/5.jpg)
The Quadratic Parent Function (Squaring)
• Equation: f(x)x2
• Domain: (-∞,∞)• Range: [0,∞)• Increasing: (0,∞)• Decreasing: (-∞,0) • Constant: None• Symmetry: y-axis
![Page 6: A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)](https://reader038.fdocuments.in/reader038/viewer/2022100509/56649f2b5503460f94c4661c/html5/thumbnails/6.jpg)
The Cubic Parent Function
• Equation: f(x) = x3
• Domain: (-∞,∞)• Range: (-∞,∞)• Increasing: (-∞,∞)• Decreasing: None• Constant: None• Symmetry: Origin
![Page 7: A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)](https://reader038.fdocuments.in/reader038/viewer/2022100509/56649f2b5503460f94c4661c/html5/thumbnails/7.jpg)
The Square Root Parent Function
• Equation: f(x)• Domain: [0,∞)• Range: [0,∞)• Increasing: (0,∞)• Decreasing: None• Constant: None• Symmetry: None
![Page 8: A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)](https://reader038.fdocuments.in/reader038/viewer/2022100509/56649f2b5503460f94c4661c/html5/thumbnails/8.jpg)
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
![Page 9: A Library of Parent Functions. The Constant Parent Function Equation: f(x) = c Domain: (-∞,∞) Range: [c] Increasing: None Decreasing: None Constant: (-∞,∞)](https://reader038.fdocuments.in/reader038/viewer/2022100509/56649f2b5503460f94c4661c/html5/thumbnails/9.jpg)
The Exponential Parent Function
• Equation: f(x) = 2x
• Domain: (-∞,∞)• Range: (0,∞)• Increasing: (-∞,∞)• Decreasing: None• Constant: None• Symmetry: None