Pg. 244 Homework Pg. 246#45 – 47 all Pg. 244#12, 13, 15, 3, 4, 9 Pg. 255#5, 11, 14, 19 #35#36Graph #37 R = 6.52 ohms#38 #39 Graph#40r = 3.84cm, h = 7.67cm #41 #42L ≤ 45 #43 P = 120, L = 30#20x = -1.94, x = 1.94 #22 (-1.71, 2.22)#24x = -1.98; (0, ¾); y = x + 1 #26 x = -0.93, x = 1.18; (0, -1); x = 1; y = x 2 + 3x + 14 #10 x = 5#12(-∞, -6]U(-5, ∞)

4.3 Equations and Inequalities with Rational Functions Fully graph or solve as needed:

4.3 Equations and Inequalities with Rational Functions Word Problem!! A single-story house with a rectangular base is to contain 900 sq ft of living area. Local building codes require that both the length L and the width W of the base of the house be greater than 20 ft. To minimize the cost of the foundation, the builder wants to minimize the perimeter of the foundation. – Find an algebraic representation for the perimeter P as a function of L. – What are the restrictions on L for this problem situation? – Find a complete graph of this problem situation. – What value of L minimizes the perimeter? What is the minimum perimeter?

4.4 Radical Functions The n th root when n is even You can only take the even root of a positive number – Therefore the domain and range of is [0, ∞). – The range is [0, ∞). Even roots are restricted to the 1 st quadrant unless they are shifted, reflected or have something effecting them. The n th root when n is odd You can take the odd root of a positive or negative number. – Therefore the domain and range of is (∞, ∞). Odd roots are restricted to the 1 st and 3 rd quadrants unless they are shifted, reflected or have something effecting them.