t l*.-* q chss: Date: Calculus Preparation Chapter Study Team Test Find all intercepts: 9 !=x2-8x+15 a. b. c. d. e. x-iotercepts: (5,0), (3,0); y-intercepts: (0, 5), (0, 3) ;r-intercept: (-15, 0);y-intercepts: (0, 5), (0, 3) r-intercepts: (5, 0), (3,0); y-intercepts: (0, I 5), (0, -15) x-intercept: (3, 0); y-intercepf (0, I 5) x-intercepts: (5, 0), (3,0); y-intercept: (0,15) 2. Find all intercepts: a y= a. b. c. +b (x+5')G x-intercepts: y-intercepts: x-intercepts: 10) x-intercepts: (-5, A), C2,0), (2, 0); (0,0), (0, 10) (-5, 0), (2,0);y-intercept (0, (-5, A), (2,0); y-intercept: (0, -10) d. e. J. Test for symmetry with respect to each axis and to the origin. t *2y2 ab. c. d. e. 4. b x-intercepts: (-5, 0), (-2, A), Q,0); y-intercept (0, 10) x-intercepts: (-5, 0), (-2, 0), (2,0); pintercept: (0, -10) :8 symmetric with respect to the origin symmetric with respect to the x-axis symmetric with respect to the y-axis no symmetry A, B, and C Sketch the graph of the equation: x:J-! a 4". ID: A il E: t.. E kr E 4d. {a. 4". {r. 5. {a. E- i. Ske&h the graph of the equation: y I - W+21 5a. 5 ". none ofthe above ID: A 6. -9 Find all 11. Y23=x a. ,\lb b. c. x-intercepts: (0,0), (5,0), (-5,0); y-intercept: (0, -25) x-intercepts: (0,0), (5,0); y-intercept: (0, 0) x-intercepts: (0,0), (5,0), (-5,0); y-intercept: d. e. x-intercepts: (0,0), (5,0); y-intercept: (0, 5) x-intercepts: (0,0), (5,0), (25,0); y-intercept: (0,0) 8. 0c 13. Find an equation of the line that passes through the point and passes through the point (4, 8), through which of the following points does the line also pass? (-l . : |.2' 1, - 9) and has the stop" 9-r- r8\/t .l= r't (1,20) b. (r, t2) c. (1, 0) d. (8, - 16) (8, -24) e. 12. Find the y-intercept of the line x + 4y = 8. (0,0) If a line has slope m : -4 a. Find the slope of the line x + 3y = 15. t4. Write an equation of the line that passes through the given point and is perpendicular to the given line. Sketch the line passing through the point with the (3,4) -/ rr.p" -* Point Line (-t,-z) x=6 rtk 15. Write an equation of the line that passes through the point ,\2 [;,*J and is parallel to the line L4-- - S. 7x-3Y )c -zr{l *5s: !3. U 2tl D x-gA't 4=7x-ST re,1 10. () *,rtt A moving conveyor is built to rise 1 meter for every 5 meters of horizontal change. Suppose the conveyor runs between two floors in a factory. Find the length of the conveyor if the vertical distance between floors is 10 meters. Round your answer to the nearest meter. t/ 6l 1 v 5 q 2 ", e- Zrrt I i 1 + +- a t I I > lol + go? too t Lfoo w FL= 7*aa K? i 1 r-1 ,t I \ I t23t1sto1 I *loE4 z+ t00 ni' I ID: A 16. A company . C'- reimburses its sales representatives $ 175 per day for lodging and meals plus 451 per mile driven. Write a linear equation giving the daily cost C to the company in terms of x, the number of miles driven. Round the numerical values in your answer to two decimal places, where applicable. 0..tSxt\16 Determine whether y-5x2 =6 y is a function of x. y= {xz+ Givenfix) = cos.x andg(x) = : -6x- 5 b t*, (osrr= 17. Evaluate (if possible) the functionf.r) at x = -2. Simplifr the result. Id evaluatefig(2)). -l Determine whether the function is even, odd, or neither. 18. Evaluate (if at x:9. possible) the functionflx) = Simpliff the result. $- 19. Letf(x) : l4x+8. Then simpliff the expression -fix)-4gl Determine which type of function would be most appropriate to frt the given data. n-' u-o? b(x-q x-9 \q ) 20. Find the domain and range of the function -flx): D: [-d, ,o) s .frx) =xstn2x *' -6- tu,4 21. {z*+t x<o Evaluate the function "frx) = { lyz*+2, x >0 fls). P[t)= \z b. exponential linear c. quadratic d. no relationship trigonometric a. e. (ato*t,a ?rffiu"'^ Sfad, T<amfust (1./uo/an, l{a,* ?ea 26. Hooke's Law states that the force F required to compress or shetch a spring (within its elastic limits) is proportional to the distance d that the spring is compressed or stretched from its original length. That is, F = kd where fr is a measure of the stiftess of the spring and is called the spring constant. The table shows the elongation d in centimeters of a spring when a force of I' newtons is applied. Use the regression capabilities of a graphing utility to frud a linear model for the data. Round the numerical values in your answer to three decimal places. F 20 40 60 80 100 d 1.9 3.8 5.7 7.6 9.5 =,04{F 27. A V8 car engine is coupled to a dynamometer and tfoe horsepower y is measured at different engine speeds.r (in thousands of revolutions per minute). The results are shown in the table below. Use the regression capabilities of a graphing utilrty to find a cubic model for the data. Round the numerical values in your answer to three decimal places, where applicable. x 1 2 ) 4 5 6 v 64 109 t64 224 249 269 q -- -1, FCIbx3 */1,#gx f lb,ntrfr *3r' T 28. Find the points of intersection of the graphs of the equations: 7 x=! -J !=x+L (-2,-r) Lt, z) ID: A

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