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Problem 5heet #4 (1.5-1.7) Classlb: Math 1090 - Name: So\uoS 001 Spring 2013 Hmk. 4 Score Instructor: l(atrina 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. ‘o ov-S Trues ; 2 p)4 4 bo ‘-c,eç b) A relation with two x-intercepts is never a function. Fa\se.-, s \r --or =Ix+11—3. .\3 Aoe.S 4o vo*uQ. c,_k- 2. Givenh(x) 2 c 2 ‘ - Find h(-6). _c —•! 21 3. civerig(x) = 2 + 4. Find g(x-3). Write your answer as a polynomial in standard form. —2x (-S) -l(x-,) 4 2 -2 2’+ L) 4 i( - 4. Find the domain of each function. a) f(x)=x+3I—2 b EC: What is the range of f? b)g(x)= (., 3x —2 - x +4x—5 2 kS 1c’ r) c’.-’) ‘- c) \ h(x)=/1—4x (oo — 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. (ooo,to’) ‘m ç (,oo,2o) Q.cv Ui2oo wLco _j_ - 2’2O .1. (-,ooo) Oo\D’) cOSo kt3oo ‘OO supply equation: demand equation: ? — -%t2O0 Equilibrium Point: (22o, $ 3) 6. A donut shop has fixed costs of $165 per day and variable costs of $0.10 per donut. The shop sells the donuts f or $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? x \\ 2 7. Graph the solutions of the system of inequalities. Be sure to clearly label your Jx_y<3 ( -) 2x-y3 (2cS) S\-? jç4 I’ -