# Examples of different polynomial graphs

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## Examples of different polynomial graphsPresentation Transcript

• Polynomial Functions and Models
• Turning Points and Local Extrema
• Turning point
• A point (x, y) on the graph
• Located where graph changes
• from increasing
• to decreasing
• (or vice versa)
• •
• Family of Polynomials
• Constant polynomial functions
• f(x) = a
• Linear polynomial functions
• f(x) = m x + b
• f(x) = a x 2 + b x + c
• Family of Polynomials
• Cubic polynomial functions
• f(x) = a x 3 + b x 2 + c x + d
• Degree 3 polynomial
• Quartic polynomial functions
• f(x) = a x 4 + b x 3 + c x 2 + d x + e
• Degree 4 polynomial
• POLYNOMIAL FUNCTIONS GENERAL SHAPES OF POLYNOMIAL FUNCTIONS f(x) = x 4 + 4x 3 – 2x – 1 Quartic Function Degree = 4 Max. Zeros: 4
• POLYNOMIAL FUNCTIONS GENERAL SHAPES OF POLYNOMIAL FUNCTIONS f(x) = x 5 + 4x 4 – 2x 3 – 4x 2 + x – 1 Quintic Function Degree = 5 Max. Zeros: 5
• POLYNOMIAL FUNCTIONS GENERAL SHAPES OF POLYNOMIAL FUNCTIONS f(x) = x 3 + 4x 2 + 2 Cubic Function Degree = 3 Max. Zeros: 3
• POLYNOMIAL FUNCTIONS GENERAL SHAPES OF POLYNOMIAL FUNCTIONS f(x) = x 2 + 3x + 2 Quadratic Function Degree = 2 Max. Zeros: 2
• POLYNOMIAL FUNCTIONS GENERAL SHAPES OF POLYNOMIAL FUNCTIONS f(x) = x + 2 Linear Function Degree = 1 Max. Zeros: 1
• POLYNOMIAL FUNCTIONS GENERAL SHAPES OF POLYNOMIAL FUNCTIONS f(x) = 3 Constant Function Degree = 0 Max. Zeros: 0