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Problem Sheet #4 (1.5-1.7) ClassID: _____ Name: _________________________ Hmk. 4 Score _________ Math 1090 – 001 Spring 2013 Instructor: Katrina Johnson Complete each problem. No credit will be given without supporting work. 1. True or False. Explain your answer. a) A relation with two y-intercepts is a never a function. b) A relation with two x-intercepts is never a function. 2. Given h(x) = x +1 − 3 . Find h(-6). € 3. Given g(x) = −2x 2 + 4 . Find g(x-3). Write your answer as a polynomial in standard form. € 4. Find the domain of each function. a) f (x) = x + 3 − 2 € EC: What is the range of f? b) g(x) = 3x − 2 x + 4x −5 2 € c) h(x) = 1 − 4 x € 5. A company will be marketing youth sports uniforms and found that if the cost of a uniform is $40 then there should be approximately 3,000 uniforms purchases and that if the cost of a uniform is $120 then there should be approximately 600 uniforms purchased. The company is willing to sell these uniforms at a price of $50 if 900 of the uniforms could be sold, but would sell these for $90 if only 4,500 could be sold. Write the supply and demand equations. Then find the equilibrium point for this market. supply equation: ____________________________ demand equation: ___________________________ Equilibrium Point: ______________ 6. A donut shop has fixed costs of $165 per day and variable costs of $0.10 per donut. The shop sells the donuts for $0.63 each. a) What is the cost function, C(x)? b) What is the profit function, P(x)? c) What is the marginal profit, MP? d) How many donuts must be sold to break-even? 7. Graph the solutions of the system of inequalities. Be sure to clearly label your graph. ⎧ x − y < 3 ⎨ ⎩2x − y ≥ 3 €