Pg. 149 Homework Pg. 149#2 – 23 (every 3 rd problem) Pg. 151# Study for Quiz: Sections 2.5 – 2.7 #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, ) Min = (1, -30) #22Zeros = (0, 0), (4, 0), (22, 0) Max = (1.79, 145,74) Min = (8.21, )

2.5 Solving Higher Order Inequalities Algebraically and Graphically Sign Patterns Create a sign pattern to solve the following inequalities: Solving Inequalities Algebraically Solve the following inequalities algebraically:

2.5 Solving Higher Order Inequalities Algebraically and Graphically Solving Inequalities Graphically Solve the following inequalities graphically: Word Problems!! A swimming pool with dimensions of 20 by 30 ft is surrounded by a sidewalk of uniform width x. Find the possible widths of the sidewalk if the total area of the sidewalk is to be greater than 200 sq ft but less than 360 sq ft.

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.

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. Show that h(x) = x 2 – 2x will have an inverse function.

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.

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.