MHF4U1-ASSIGNMENT CHAPTER 1 NAME: K: [10 I: [10 C: [10 A: [10 1. For each function, - Determine the domain, intercepts (X and y), asymptotes, and positiveegative intervals. Then describe Where the function is increasing or decreasing. [K5] - Also, use these characteristics to sketch the graph of the function. [C3] 2x+6 '90 = xZ b) Reciprocal of f(x) = 2x + 7x - 4 2. State the equation of a rational function if the vertical asymptote is x = 5, the horizontal asymptotes is y = 2, the x-intercept is -2 - and the y- intercept is - . [T2]3. An economist for a sporting goods company estimates the revenue and cost Jnctions for the production of a new snowboard. These functions are R(x) = -x2 + 10x and C(x) = 4X + 5, respectively, where X is the number of snowboard produced, in thousands. The average profit defined by the function AP(X) = E, where P(x) is the prot function. Determine I the production levels that make AP(X) > 0. [T4] Note: Prot : Revenue , Cost 4. Mrs. Jung purchased a large box of cupcakes for 8300. She shared 15 cupcakes with the teachers and then sold the rest to the students for 8330, making a profit of 81.50 on each one. How many cupcakes were there in the box? What was the original price of each cupcake? [A4] 5. A company purchases X kilograms of steel for 82249.52. The company processes the steel and turns it into parts that can be used in other factories. After this process, the total mass of the steel has dropped by 25 kg (due to trimmings, scrap, and so on), but the value ofthe steel has increased to 810 83 8.52. The company has made a prot of SZ/kg. What was the original mass of the steel? [A6] 6. State the conditions to develop hole discontinuity, horizontal asymptote, vertical asymptote, and oblique asymptote. Provide examples for the equation of a function that develops each discontinuity. [04; T4]