QUESTION 1Select the correct description of right-hand and l

QUESTION 1Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.Rises to the left, falls to the rightRises to the right, rises to the leftFalls to the left, rises to the rightFalls to the rightFalls to the left, falls to the right4 points QUESTION 2Select the correct description of right-hand and left-hand behavior of the graph of the polynomial funciton.f(x) = 4×2 – 5x + 4Falls to the left, rises to the rightFalls to the left, falls to the rightRises to the left, rises to the rightRises to the left, falls to the rightFalls to the left4 points QUESTION 3Find all the real zeroes of the polynomial function.f(x) = x2 – 25-255-525±54 points QUESTION 4Use synthetic division to divide.(4×3 + x2 – 11x + 6) ÷ (x + 2)4×2 – 5x – 64×2 – 7x + 34×2 – 2x – 24×2 + 5x – 124×2 + 7x – 44 points QUESTION 5Use the Remainder Theorem and synthetic division to find the function value. Verify your answers using another method.h(x) = x3 – 6×2 – 5x + 7h(-8)-849-847-851-848-8454 points QUESTION 6Find all the rational zeroes of the function.x3 – 12×2 + 41x – 42-2, -3, -72, 3, 72, -3, 7-2, 3, 7-2, 3, -74 points QUESTION 7The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is given by R(p) = -25p2 + 1700pwhere p is the price per unit (in dollars).Find the unit price that will yield a maximum revenue.$38$35$36$37$344 points QUESTION 8Find the domain of the function Domain: all real numbers x except x = 7Domain: all real numbers x except x = ±49Domain: all real numbers x except x = ±8Domain: all real numbers x except x = -7Domain: all real numbers x except x = ±74 points QUESTION 9Find the domain of the function and identify any vertical and horizontal asymptotes.Domain: all real numbers xVertical asymptote: x = 0Horizontal asymptote: y = 0Domain: all real numbers x except x = 2Vertical asymptote: x = 0Horizontal asymptote: y = 0Domain: all real numbers x except x = 5Vertical asymptote: x = 0Horizontal asymptote: y = 2Domain: all real numbers xVertical asymptote: x = 0Horizontal asymptote: y = 2Domain: all real numbers x except x = 5Vertical asymptote: x = 5Horizontal asymptote: y = 04 points QUESTION 10Simplify f and find any vertical asymptotes of f.x+3; vertical asymptote: x = -3x; vertical asymptote: nonex; vertical asymptote: x = -3x-3; vertical asymptote: nonex2; vertical asymptote: none4 points QUESTION 11Determine the equations of any horizontal and vertical asymptotes ofhorizontal: y = 5; vertical: x = 0horizontal: y = 1; vertical: x = -5horizontal: y = 1; vertical: x = 1 and x = -5horizontal: y = -1; vertical: x = -5horizontal: y = 0; vertical: none4 points QUESTION 12Identify all intercepts of the following function.x-intercepts: (±3, 0)no interceptsx-intercepts: (-3,0)x-intercepts: (0,0)x-intercepts: (3,0)4 points QUESTION 13Select the correct graph of the function.4 points QUESTION 14The game commission introduces 100 deer into newly acquired state game lands. The population N of the herd is modeled bywhere t is the time in years. Find the populations when t=40. (Round your answer to the nearest whole number.)1,442 deer1,632 deer1,594 deer1,550 deer1,500 deer4 points QUESTION 15Evaluate the function at the indicated value of x. Round your result to three decimal places.Function: f(x) = 6000(6x) Value: x = -1.3584.191784.191-584.191684.191-784.1914 points QUESTION 16Select the graph of the function.4 points QUESTION 17Use the One-to-One Property to solve the equation for x.ex2-6 = e5xx = -6x = 5x = 6, -1x = -6, -1x = -6,14 points QUESTION 18log366 = 1/236½ = -636½ = 66½ = 3636½ = -1/636½ = 1/64 points QUESTION 19Write the exponential equation in logarithmic form.272 = 729log27729 = 2log27729 = 1/2log72927 = 2log27729 = -2log272 = 7294 points QUESTION 20Find the exact value of the logarighmic expression without using a calculator.4 ln e77284e14 points QUESTION 21Condense the expression to the logarithm of a single quantity.ln310 + ln3xln3(10 – x)ln310/xln3(10 + x)ln310xln310x4 points QUESTION 22Solve for x.6x = 1,2966104-6-44 points QUESTION 23Solve the exponential equation algebraically. Approximate the result to three decimal places.ex – 8 = 12ln20 ≈ 2.485ln20 ≈ 2.996ln20 ≈ -2.485ln20 ≈ 2.079ln20 ≈ -2.9964 points QUESTION 24An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?1 year14.40 years13.86 years14.86 years13.40 years4 points QUESTION 25The populations (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modele by where t represents the year, with t = 0 corresponding to 2000. Use the model to find the population in the year 2001.2,418,7742,419,7742,421,7742,420,7742,422,7744 points

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