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Understand polynomial terms, coefficients, degrees, and function evaluation. Observe polynomial graph shapes and behavior. Practice adding and subtracting polynomials.
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Solve the inequality and graph the solution set on the number line • -9x ≥ 36 2) 3x – 8 ≥ 13 3) -4(x + 2) > 3x + 20
Chapter 5 Section 1 Introduction to Polynomials and Polynomial Functions
Vocabulary • Polynomial • Single term • Sum of two or more terms containing variables with whole number exponents • Degree of term • Sum of the exponents of the variables • Coefficient • Number • Degree of polynomial • Greatest degree of any term of the polynomial
Identify the following • Terms • Degree of each term • Coefficient of each term 1) 2)
Describe Polynomials • Standard Form • Terms in the order of descending powers of the variable.
Evaluate a Polynomial Function 3) If f(x) = , find f(4)
End Behavior of Polynomial Functions • y = x2 • Shape of the graph • Even-degree polynomial • y = x3 • Shape of the graph • Odd-degree polynomial
Sketch the graph 4) f(x) = 5) f(x) =
Do the following 6) 7)
Extra 8) 9)
Summary • Polynomial vocabulary • Term, coefficient, degree • Evaluating Polynomial functions • Graph of Polynomial Functions • Add, subtract Polynomials