No solution one solution infinitely many solutions if

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? no solution one solution infinitely many solutions If it has no solution, enter NONE. If it has one solution, en- ter your solution as an equation t = a for some number a . If it has infinitely many solutions, enter an equation y = b + mt for some numbers b and m . help (equations) Answer(s) submitted: -6t+8 one solution t=0 (correct) Correct Answers: -6*t+8 one solution t = 0 9.(1 point)Given the graph off(x)above, find the following and write your answers using interval notation: (a) Domain:(b) Range:(c) Interval(s) on whichf(x)is increasing:(d) Interval(s) on whichf(x)is decreasing:(e) Interval(s) on whichf(x)is constant:(f) Relative maxima:(g) Relative minima: Answer(s) submitted: [-10,8) (-9,10] (-4,-1) (-10,-4),(-1,2),(6,8) (2,6) -4 -7 (correct) Correct Answers: [-10,8) (-9,10] (-4,-1) (-10,-4), (-1,2), (6,8) (2,6) -4 -7 10. (1 point) 2
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Figure 1 Figure 2 A(n) 6 in × 4 in piece of cardboard has squares cut out of each corner in order to make a box (see Figure 1). Let x repre- sent the length of a cut-out square (the height of the box). (a) Find a function V ( x ) for the volume of the box in terms of x . V ( x ) = (b) Find the domain of the function. Write your answer as a compound inequality involving x . Domain of V ( x ) : (c) Using the graph of V ( x ) shown in Figure 2, determine the dimensions that yield the maximum volume. Round your answers to the nearest tenth. Height: in Width: in Length: in Help: Click here for help entering formulas or click here for help entering inequalities. It does not matter which side you choose to be the width or length of the box. Answer(s) submitted: 4xˆ3-20xˆ2+24x 0<x<2 0.8 2.4 4.4 (correct) Correct Answers: x*(6-2*x)*(4-2*x) 0 < x < 2 0.8 4.4 2.4 11.(1 point) Figure 1 Figure 2 Tessa has 32 ft of fencing available to construct a fence that will divide her garden into three rectangular sections. Her house forms one side of the garden and x represents the width, as shown in Figure 1. of x. A ( x ) = compound inequality involving x . Domain of A ( x ) : dimensions that yield the maximum area. Width: ft Length: ft Answer(s) submitted: -4xˆ2+32x 0<x<8 4 16 (correct) Correct Answers: -4*xˆ2+32*x 0 < x < 8 4 16 12. (1 point) Find the domain of the function f ( x ) = 9 - 4 x x 2 - 64 and write your answer in interval notation. Domain: Help : Click here for help entering intervals. You have 1 attempt(s) remaining before you will receive a new version of this problem. Answer(s) submitted: (-inf,-8)U(-8,9/4] (correct) Correct Answers: 3
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(-infinity,2.25]-{8,-8} 13. (1 point) Consider the relation { ( 4 , - 2 ) , ( - 1 , - 2 ) , ( - 8 , - 2 ) , ( 9 , - 2 ) , ( - 7 , - 2 ) } . Is this relation a function? (Write either ”Yes” or ”No”) What is the domain of this relation?
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  • Fall '13
  • DrSulllivan
  • functions f

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