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1260-f09-t3-sol

1260-f09-t3-sol - ;2300[3 8 Evaluate a log749-C log21 ~ 8-9...

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Math 1260 - Fall 2009 TEST#3 SHOW ALL YOUR WORK FOR FULL CREDIT! NAME 1. Given f(x) = -x 2 + 2x -~ 8 find: [2] a. The vertex [2] b. the x-intercepts: ,/4-2.---0 [1 ] c. the y-intercept: [2] d. Sketch the graph off(x): [3] 2. The profit function for a certain product is given by P(x)= 400+ 10x- x 2. Find the maximum profit.

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[3] 3. The cost and revenue functions for a product are given by C(x) = 10x + 50 and R(x) = -x2+25x . Find the minimum break-even point. y~ o! g-X ,-i o % -1,5-0 ~ ’/_-{ 0 =0 [3] 4. Given the following function: a. State the number of turning points b. Give the possible values for the degree of the polynomial. ~ i--]) ~ ~ l[~ ,~° ~ c. State the sign of the x" term: [3] 5. Find the vertical asymptote of the following: 2-3x f(x) = ~ 4x-’-7 [3] 6. Solve the following equation: [3] 7. at the end of 6 years. Jennifer invests \$2300 at 3.5% interest compounded cominuously. Find the valu~ of her investmem

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Unformatted text preview: ;2300 [3] 8. Evaluate: a. log749--C. log21-- ~ 8 --9. Solve each equation:. Round decimal answers to the nearest hundredth: [3] a. log(4x-3)--2 [3] b. 5 x = 3 [3] c. log4(x + 2)- logn(X + 1) = 1 [3] 10. Joe has an account tlaat ~vill be worth \$3,000 after compounding continuously for 5 years at 4% interest. Find the present value of his account. 11. Find the effective rate of." [2] a. 6% compounded cominuously. [2] b. 6% compounded quarterly._ [3] 12. Using the grap~off(x), find the following. Ifa limit does not exist, state "does not exist." a. lim f(x)= b. lim f(x)= x--~2 ÷ d. f(21 = "- & e. lim f(x)= f. limf(x)= , ~ x~O + [3] 13. Find the value of the following, if the limit exists:-3-Future Value Compound Imerest: A = P(1 + i)" Future Value Continuous Compounding: A = Effective rate for Continuous Compounding: r u = er _ 1 TOTAL SCORE 50 100...
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