Name More Practic ONLI Ed Video T Interact Graph the function g. Show the asymptotes and reference points for the graph. 1. g(x) = - x +2 - 3 2. g(x) = XT + 2 8 4 4 . X X -8 8 -4 0 4 8 -8 -4 0 4 14 - -4 8- -8 Rewrite the function in the form g(x) = a_ ) + k and graph it. Show the asymptotes and re points for the graph. 3. 8(x) = 3x + 7 4. g(x) = -2x -5 *+ 3 x - 2 4 4 X -8 1-4 0 4 8 - 8 -4 4 8 D -4 -8 -8 Write an equation of each graph. Use the form g(x) = a _ + k. 5. (-2, 8) MATY 6. 4 (0, 2) X X -8 -4 4 8 -8 -4 0 4 8 -4 i (2, -5) - L. -+8 (4, -7)7. Model with Mathematics Manny purchased a set of cookie cutters for $25. He plans to sell cookies for $0.75 each. The ingredients for his cookies will cost him $0.35 per cookie. A. Write an equation giving Manny's total profit per cookie as a function of the number of cookies he makes. B. How many cookies must Manny make for the total profit per cookie to be at least $0.15? Show your work. 8. Math on the Spot Some diamonds are cut using ratios calculated by mathematician, Marcel Tolkowsky, in 1919. The amount of light reflected up through the top of a diamond (brilliancy) can be maximized using the ratio between the width of the diamond and the depth of the diamond. A gemologist has a diamond with a width of 80 millimeters. If x represents the depth of the diamond, then represents the brilliancy ratio y. Describe the reasonable domain and range values. Graph the function. 9. Tallulah buys a new smartphone for $275. She chooses a phone plan that costs $35 per month. A. Write an equation that gives the average monthly cost c(m) of owning the smartphone as a function of the number of months m that she owns the phone. B. For how many months must Tallulah own the smartphone for her average monthly cost to be no more than $50? Use a graph to find the answer. C. If Tallulah owns the smartphone for 2 years, what is her average monthly cost? 10. Consider the function f(x) = >. Which of the following statements describe the graph of the function? Select all that are true. A f(x) has a horizontal asymptote at y = 3. B f(x) has a vertical asymptote at x = 3. Of(x) has the domain fx | x# 3. D f(x) has the domain x | x * 4 E f(x) has the range ty ly # 3. Ff(x) has the range ty ly # 4.' Algebra 2 162 Journal