 # 1) Determine whether the following rule defines y as a function of ...

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1) Determine whether the following rule defines y as a function of x. a) y = x3 b) The x, y pairs: {(2,-7), - (2,9), (4,-6), (8, -8), (12,3)} c) x=y² 2) State the domain of the given functions: y = (x +3)(x - 3) b) f(x)==x+2 ) 8(x)==16 d)R(x)=9x2+9x-9 f(x + h) -f(x) 3) For the given functions, find h a) f(x)=9x - 3 b)g(x)=x²-4x - 4) For the functions, Graph the rational function, Find the vertical and horizontal asymptotes Find the domain and range Find the intercepts = 2x+6 = x-3 - 5) For the functions, Graph the function Find the vertext point find the intercepts find the equation of symmetric line intervals for function is decreasing or increasing find the Domain and the range find the Max and Min point = b) y=(x+1)2! = 5 c) ((x)=-X2-3x-9 = - 6) Suppose the cost of producing x computers is c(x) = 2000 + 90x - 0.1x². Find the cost of producing 80 computers. 7) A cereal factory has weekly fixed costs of \$33,000. It costs \$1.28 to produce each box of cereal. A box of cereal sells for \$4.07. Find the rule of the cost function c(x) that gives the total weekly cost of producing x boxes of cereal. 8) A cereal factory has weekly fixed costs of \$43,000. It costs \$1.38 to produce each box of cereal. A box of cereal sells for \$3.94. Find the rule of the profit function p(x) that gives the total weekly profit from x boxes of ce 9) At a manufacturing plant, the total cost (in dollars) to produce x items is C(x) = 5.68x + 21,000. What is the marginal cost per item? 10) At a manufacturing plant, the total cost (in dollars) to produce x items is C(x) = 2.75x + 3270. What is the average cost per item? 11) Find the revenue function given the following information. Fixed cost: \$840; marginal cost per item: \$10; item sells for \$36

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