Math 11 Chapter 3 Review Determine if the graph of the function is concave up or concave down. 1) f() = + - Concave up B) Concave down Determine if the verte of the graph is a maimum point or a minimum point. ) f() = - - + Minimum B) Maimum Graph the quadratic equation on [-, ] b [-, ]. Does this window give a complete graph? 3) f() = 0.1 - - B) - - - - - - - - C) Yes D) No - - - - - - - - No No Give the coordinates of the verte of the graph of the parabola. ) = ( - ) + Verte: (-, ) B) Verte: (-, -) C) Verte: (, ) D) Verte: (, -)
) = - - - 3 Verte: (-0., 3.) B) Verte: (-, 1) C) Verte: (, 1) D) Verte: (-, -1) Use the graph of the function to estimate the -intercepts. ) = + 3-18 = -, = 3 B) = 0 C) = -3, = D) = -3, = 18 7) John owns a hot dog stand. He has found that his profit is given b the equation P = - + 80 + 87, where is the number of hot dogs sold. How man hot dogs must he sell to earn the most profit? 3 hot dogs B) 0 hot dogs C) 1 hot dogs D) 7 hot dogs 8) If a ball is thrown upward at feet per second from the top of a building that is 1 feet high, the height of the ball can be modeled b S = 1 + t - 1t feet, where t is the number of seconds after the ball is thrown. What is the ball's maimum height? 30 ft B) 1 ft C) 17 ft D) 18 ft Use factoring to solve the equation. 9) k - = 0, - B), 0 C), - D), 0 ) + - 3 = 0 1, -3 B) 0, -3 C) -1, 3 D) -3, - -3 Use a graphing utilit to find or approimate the -intercepts of the graph of the quadratic function. 11) = 3 + 8-1 No -intercepts B) (-, 0) C) (, 0) and - 3, 0 D) (-, 0) and 3, 0 Use the square root method to solve the equation. 1) - 0 = 0 00 B) C) ± D) 0 Use the quadratic formula to solve the equation. 13) 8 + 30 + = 0 -, - B), - C), D) - 8, - 1 1) p + p - 9 = 0-1 ± i 3 B) -1 ± 37 C) -1 ± 37 D) 1 ± 37
Use a graphing utilit to find or approimate solutions to the equation. If necessar, round our answers to three decimal places. 1) + = -3.303, 0.97 B) -3.197, -3.197 C) 0.1, -.1 D) -0.97, -.303 1) The function defined b D t = 13t - 73t gives the distance in feet that a car going approimatel 0 mph will skid in t seconds. Find the time it would take for the car to skid 380 ft. Round to the nearest tenth. 9.9 sec B).3 sec C).1 sec D) 8.9 sec Graph. 17) f() = 1 + B) - - - - - - - - - - - - C) D) - - - - - - - - - - - -
18) = - 8 B) -8 - - - 8 - - - - - - - -8 - - C) D) - - - - - - - - - - - - Find the requested value. 19) f(0) for f() = -, if < 3 -, if -3 B) 1 C) - D) 3 Determine if the function is concave up or concave down in the first quadrant. 0) = 3/ Concave up B) Concave down 1) A stud in a small town showed that the percent of residents who have college degrees can be modeled b the function P = 3 0.37, where is the number of ears since 00. According to the model, what percent of residents had a college degree in 0? Round to the nearest whole number. 8% B) 3% C) 7% D) 73%
Graph the function. ) f() = -1, if 1 - -, if < 1 B) - - - - - - - - - - - - C) D) - - - - - - - - - - - - Determine if the function is increasing or decreasing over the interval indicated. 3) = - 3 ; < 0 Decreasing B) Increasing ) Assume it costs 30 cents to mail a letter weighing one ounce or less, and then 8 cents for each additional ounce or fraction of an ounce. Write a piecewise-defined function P() that represents the cost, in cents, of mailing a letter weighing between 0 and 3 ounces. P() = 30 if 1 8 if 1 < 8 if < 3 B) P() = 8 if 1 8 if 1 < 11 if < 3 C) P() = 30 if 1 < 8 if < 3 8 if 3 < D) P() = 30 if < 1 8 if 1 < 8 if < 3
Find a quadratic function that best fits the data. Give answers to the nearest hundredth. ) 8 1 3 9 11 78 = 1.0 + 7.1 + 1. B) = -1.0 + 7.1-1. C) = -0.03 + 3.78 -.7 D) =. - 39.888 + 99.9 Find a power function that models the data in the table. Round to three decimal places if necessar. ) 1 3 9 1 18 19 3 = 3.3 +.7 B) = 9.08 0. C) =0. 9.08 D) = 8.1 1. 7) The table shows the number of new cases of a certain disease among women in si consecutive ears. Data are in thousands rounded to the nearest hundred. Year New Cases (thousands) 00 3.0 00 3. 007. 008. 009.0 0 1.1 Let = 1 correspond to 00 and let be the number of new cases (in thousands) among women in ear. Find a quadratic function to model the data. Round to three decimal places if necessar. = 0.9 -.1 + 8.91 B) =.9-3. + 0.83 C) = 0.3 -. + 8.9 D) = 0.83-3. +.9 8) The percent of people who sa the plan to sta in the same job position until the retire has decreased over recent ears, as shown in the table below. Year 00 00 007 008 009 0 Percent 38 3 3 30 Find a power function that models the data in the table using an input equal to the number of ears from 000. Round values to the nearest thousandth. = 3.93-0.0 B) =.077-0.38 C) =.87-0.071 D) = - 0.38.077
Provide an appropriate response. 9) Determine whether a linear or quadratic function would be a more appropriate model for the graphed data. If linear, tell whether the slope should be positive or negative. If quadratic, decide whether the coefficient of should be positive or negative. CRIME STATISTICS Crimes (in hundreds) Years since 000 Linear; positive B) Quadratic; negative C) Linear; negative D) Quadratic; positive
Answer Ke Testname: CHAPTER 3 REVIEW 1) A ) B 3) B ) C ) B ) A 7) B 8) C 9) C ) A 11) D 1) C 13) A 1) C 1) D 1) D 17) D 18) B 19) C 0) A 1) B ) C 3) A ) A ) B ) B 7) D 8) B 9) C