1. Determine the domain and range of the parabola. Also, say if the parabola opens upward or downward. y
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1 1. Determine the domain and range of the parabola. Also, sa if the parabola opens upward or downward. A. The domain is D = [3, ) and the range is R = R.The parabola opens upward. B. The domain is D = (, 3] and the range is R = R. The parabola opens downward. C. The domain is D = R and the range is R = [3, ). The parabola opens downward. D. The domain is D = R and the range is R = (, 3]. The parabola opens downward. E. The domain is D = R and the range is R = [3, ). The parabola opens upward. F. The domain is D = [3, ) and the range is R = R.The parabola opens downward.. Use the shape of the graph to match it with the function that defines this graph. A. f() = + 1 B. f() = C. f() = + 1 D. f() = 3 + 1
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3 3. Find the verte of the parabola f() = + 5. A. The verte is ( 7, 0). B. The verte is ( 3, ). C. The verte is ( 9, 1). D. The verte is ( 7, 7). E. The verte is ( 1, 3). F. The verte is ( 1, ). G. The verte is ( 5, 1). H. The verte is ( 9, 8).. Find the -intercept, -intercepts, and verte of the parabola f() = + 6. A. The -intercept is (0, 6). The -intercepts are ( 13 1, 9 B. The -intercept is (0, 11). The -intercepts are ( 13 19, 9 C. The -intercept is (0, 11). The -intercepts are ( 3 19, 9 D. The -intercept is (0, 6). The -intercepts are ( 13 19, 89 E. The -intercept is (0, 6). The -intercepts are ( 3, 0) and (, 0). The verte is ( 1, 9 F. The -intercept is (0, 11). The -intercepts are ( 3 19, 89 G. The -intercept is (0, 11). The -intercepts are ( 13, 0) and (, 0). The verte is ( 1, 89 H. The -intercept is (0, 11). The -intercepts are ( 13 1, 89
4 5. Use the shape of the graph to match it with the function that defines this graph. A. f() = 3 B. f() = 3 C. f() = 3 3 D. f() = 3 6. Bill Bob owns a coal mine. One da he noticed, contrar to his epectations, that selling more coal doesn t necessaril mean more profit (since producing and selling more coal incurs greater labor and equipment costs). Looking at data from the last ear, Bill Bob (with the help of some mathematicall inclined friends of course) created a function P () = which gives the profit in dollars when tons of coal are produced and sold. Graph this function and use it to help Bill Bob determine the following: a. his overhead costs (Hint: Evaluate P (0).) b. the break-even values (Hint: When does P () = 0?) Round our answers to the nearest hundredth. c. his maimum profit that can be made and the number of tons to sell to create this profit. A. The overhead costs are $5000. The break even points are.5 tons and 55.5 tons. The maimum profit of $65000 is reached when 30 tons of coal are produced and sold. B. The overhead costs are $1000. The break even points are.5 tons and 55.5 tons. The maimum profit is $65000 is reached when 30 tons of coal are produced and sold. C. The overhead costs are $1000. The break even points are.5 tons and 55.5 tons. The maimum profit is $68000 is reached when 30 tons of coal are produced and sold. D. The overhead costs are $5000. The break even points are 5.5 tons and 56.5 tons. The maimum profit is $65000 is reached when 31 tons of coal are produced and sold. E. The overhead costs are $5000. The break even points are.5 tons and 55.5 tons. The maimum profit is $66000 is reached when 30 tons of coal are produced and sold. F. The overhead costs are $1000. The break even points are 7.5 tons and 58.5 tons. The maimum profit is $6000 is reached when 33 tons of coal are produced and sold.
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6 7. Find the -intercept, -intercepts, and range of the parabola graphed below. A. The -intercept is (0, 3). The -intercepts are ( 1, 0) and (, 0). The range is R = (, 9]. B. The -intercept is (0, 3). The -intercepts are ( 1, 0) and (3, 0). The range is R = [, ). C. The -intercept is (0, 3). The -intercepts are ( 1, 0) and (, 0). The range is R = [ 9, ). D. The -intercept is (0, 8). The -intercepts are ( 6, 0) and (3, 0). The range is R = (, ]. E. The -intercept is (0, 3). The -intercepts are ( 6, 0) and (, 0). The range is R = [ 9, ). F. The -intercept is (0, 8). The -intercepts are ( 1, 0) and (, 0). The range is R = (, 9]. G. The -intercept is (0, 8). The -intercepts are ( 6, 0) and (3, 0). The range is R = [ 9, ). H. The -intercept is (0, 8). The -intercepts are ( 6, 0) and (3, 0). The range is R = (, ]. 8. Find the -intercept, -intercepts, and verte of the parabola f() = A. The -intercept is (0, 7). The -intercepts are ( 3, 0) and (, 0). The verte is ( 7 6, 9 B. The -intercept is (0, 6). The -intercepts are ( 1 3, 0) and (, 0). The verte is ( 1 6, 9 C. The -intercept is (0, 7). The -intercepts are ( 3, 0) and (, 0). The verte is ( 7 6, 9 D. The -intercept is (0, 6). The -intercepts are ( 3, 0) and (1, 0). The verte is ( 1 6, 5 E. The -intercept is (0, 7). The -intercepts are ( 1 3, 0) and (, 0). The verte is ( 7 6, 5 F. The -intercept is (0, 7). The -intercepts are ( 1 3, 0) and (1, 0). The verte is ( 7 6, 9 G. The -intercept is (0, 6). The -intercepts are ( 1 3, 0) and (1, 0). The verte is ( 1 6, 9 H. The -intercept is (0, 6). The -intercepts are ( 1 3, 0) and (, 0). The verte is ( 7 6, 5
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