Mth Anlysis CP WS 4.X- Section 4.-4.4 Review Complete ech question without the use of grphing clcultor.. Compre the mening of the words: roots, zeros nd fctors.. Determine whether - is root of 0. Show your work.. Write polynomil eqution of lest degree with roots, -, i, nd -i. How mny times does the grph of the relted function intersect the -is? 4. Wht is the polynomil of lest degree tht hs roots i, 0,? 5. Give n eqution for third degree polynomil tht hs roots t nd doule root t -. 6. Wht do you know out the roots of qudrtic eqution if its discriminnt is 0? 7. Solve 6 0 y completing the squre. 8. Find the discriminnt of 5 4 nd descrie the nture of the roots of the eqution. Then solve the eqution using the qudrtic formul. 4 9. How mny times is - root of 8 6 0? 0. Find the reminder of 6 9 the inomil is fctor of the polynomil. nd stte whether. Find the reminder of 4 6 8 the inomil is fctor of the polynomil.. Find the vlue of k so tht the reminder of 5 k is 0.. Find k such tht nd stte whether 4 is fctor of f ( ) k 5. 4. One of the fctors of 7 4 is. Wht is nother fctor? 4 5. List ll the possile rtionl roots of 6 0. 6. Find ll the zeros of 7. Find ll the roots nd fctors of f 6. 4 0. 4 8. Find ll roots of the eqution 4 0. 9. In the 6 8 rectngulr grden, the pths (shded), hve equl widths. The grden s plnting regions re shown s unshded rectngles. If the totl re of the shded nd unshded regions is equl, how wide is ech grden pth? Mth Anlysis CP WS 4.X- Section 4.6-4.8 Review A Do ll work netly nd on seprte sheet of pper. List ll of the possile rtionl roots of ech eqution. Then find ll solutions (oth rel nd imginry) of the eqution.... 4. 4 5 0 0 8 0 4 7 6 0 4 0 Solve ech eqution. 5. 6. 7. 5 m 8 0 m 4 p 5 p p p p Solve ech inequlity. 8. 9. 6 t t y y 0. 5 4 ----------------------------------------------------------------------------------------------------------------------------- - - Mth Anlysis CP WS 4.X- Section 4.6-4.8 Review B. Solve ech eqution or inequlity: 6 6.. 5 w w c. 9 0 5 d. e. m f. 5 6. Use the grph of f() to solve f() < 0.. A Brodwy theter sells 50 tickets for every performnce. Ech ticket costs $80. The compny wnts to increse the ticket price. They estimte tht for ech $ increse in ticket price, 5 customers will e lost. Determine the ticket price tht will llow the theter to increse its revenue y $000. 4. Consider the dt elow: - -0.5 0.5.5 y 48.6 0. -9. -0..6 8..5.5 4 y 4.6 6.4 0.4. 6.8. Sketch sctter plot of the dt.. Wht type of eqution would est model this? c. Find n eqution f() to model the dt. d. Find the ppro vlues of for which f() =
Cumultive Alger Review- Chpter 04 Anlysis CP All work is to e netly shown on seprte piece of pper. Plese write nd o your nswer, including the multiple choice nswer letter. This is due the school dy fter the chpter test.. Wht is the eqution of line with y- intercept of nd n -intercept of -5? (A) y 0.6 (B) y.7 (C) y 5 (D) y 5 (E) y 5. If the second term in n rithmetic sequence is 4, nd the tenth term is 5, wht is the first term in the sequence? (A).8 (B).7 (C).8 (D).6 (E).75 f 6, then wht is the f?. If minimum vlue of (A) -8.0 (B) -7.0 (C). (D) 6.0 (E).0 6 4. Wht vlue does 6 pproch s pproches -? (A) -.67 (B) -0.60 (C) 0 (D).00 (E). 5. If the gretest possile distnce etween two points in rectngulr solid is, then which of the following could e the dimensions of this solid? (A) (B) 6 7 (C) 8 (D) 47 9 (E) 48 8 6. Runner A trvels feet every minute. Runner B trvels feet every second. In one hour, Runner A trvels how much further thn Runner B, in feet? (A) 60 (B) 60 (C) 60 60 (D) (E) 60 60 g f 7. If f 8. (A) (B) (C) (D) (E)!! (A) 0.5 (B).0 (C) (D) (E) nd g, then 9. In order to disprove the hypothesis "No numer divisile y 5 is less thn 5," it would e necessry to (A) prove the sttement flse for ll numers divisile y 5 (B) demonstrte tht numers greter thn 5 re often divisile y 5 (C) indicte tht infinitely mny numers greter thn 5 re divisile y 5 (D) supply one cse in which numer divisile y 5 is less thn 5 (E) show tht sttement true of numers greter thn 5 is lso true of numers less thn 5 4 0. The epression is undefined for 0 8 wht vlue(s) of?, 4 (A) (B) (C) 0 (D), 4 (E) 0,, 4 ---------------------------------------------------------------- Written Response Question A complete response requires the following: Epress your thinking in words Lel ny figures you drw Identify ny formuls used Mke cler the source of numers used Full credit will not e erned if your work cnnot clerly e followed. The finl nswer is importnt, ut meningless if you cnnot show someody how to get it. ---------------------------------------------------------------- Mtt sys tht if nd re ny positive numers, then must e smller thn.. Choose three specific pirs of numers to test Mtt's sttement.. Suppose. Use lger to determine wht this implies out the vlue of or. Hint: Strt y squring oth sides. c. Bsed on wht you discovered in prt, wht cn you determine out Mtt's initil ssumption out nd?
d. For ny tringle, the sum of the smller two sides must e greter thn the length of the third side. Using the given tringle, determine if Mtt's sttement is true or flse. c
Mth Anlysis CP