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Pg. 149 Homework Pg. 149#2 – 23 (every 3 rd problem) Pg. 151# 50 - 57 #1[-5, 5] by [-2, 10] #4[-4, 4] by [-10, 10] #7[-1,000, 3,000] by [-15,000,000, 2,000,000] #10minimum = (3/14, 831/28) #13Zeros = maximum = (0, 10) #16Intercept = (1.30, 0) and no maxima #19Zeros = (3.81, 0) Max = (0.33, -29.85) Min = (1, -30) #22Zeros = (0, 0), (4, 0), (22, 0) Max = (1.79, 145,74) Min = (8.21, -385.74)
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3.1 Graphs of Polynomial Functions Definition A polynomial function is one that can be written in the form: where n is a nonnegative integer and the coefficients are real numbers. If the leading coefficient is not zero, then n is the degree of the polynomial. State whether the following are polynomials. If so, state the degree.
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3.1 Graphs of Polynomial Functions End Behavior End behavior is determined by the degree and the leading coefficient. Create Chart. Number of “Bumps” The number of “bumps” a graph may have is no more than one less than the degree. The number of zeros a graph may have is no more than the number of the degree.
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2.7 Inverse Functions Inverse Functions Show that f(x) = will have an inverse function. – Find the inverse function and state its domain and range. – Prove that the two are actually inverses. Show that g(x) = will have an inverse function. – Find the inverse function and state its domain and range. – Prove that the two are actually inverses. Will h(x) = x 2 – 2x will have an inverse function?
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2.6 Relations and Parametric Equations Circles Write the following equation of a circle in standard form and state the center and radius. Symmetry Determine the type of symmetry, if any, of the equations below.
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