$2.5 -Write an equation for a function that has a graph with the given character
ID: 2911500 • Letter: #
Question
$2.5 -Write an equation for a function that has a graph with the given characteristics. 128 34) x -8 x+8 x2-64 23) The shape of y =nF is shifted 10 units to the left. Then the graph is shifted 5 units upward. 35) X-4 8 x-1 1-x $3.2 - Solve. 36) x =-/x + 13 + 7 24) 8x2+4-1156 25) 5x2-30x 26) 49x2-42x+5 0 27) x2-14x + 49-9 37) 2x-5+7 3 $3.5 - Solve and write interval notation for the solution set. 38) 14x +6l 13 39) 12x -71 5 28) x2 =-19 + 5x $4.2- Find the zeros of the polynomial function and state the multiplicity of each. §2.1, 22, 32, 3.3-Solve. 29) At Allied Electronics, production has begun on 40) f(x) -6x2(x -7)(x+1)3 the X-15 Computer Chip. The total revenue function is given by R(x) 59x - 0.3x2 and the total cost function is given by C(x) = 7x + 13, where x represents the number of boxes of computer chips produced. The total profit function, P(x), is such that P(x) R(x) C(x). Find P(x) then determine the maximum profit. $4.5 - State the domain, vertical asymptote(s) and/or removable discontinuity(s) for the graph of the rational function 41) g)x+7) 30) The function I(t) - -0.1t2+ 1.4t represents the 42 x4 +2x x2-4x -12 yearly income (or loss) from a real estate investment, where t is time in years. After what year does income begin to decline? 43) f(x) =-x+6 31) A projectile is thrown upward so that its distance above the ground in feet, after t seconds is h(t) -1612+396t. After how many seconds does it reach its maximum height? What is the projectile's maximum height? $4.5- Find the horizontal asymptote, if any, of the rational function. 7 44) f(x) = 4x2 +6x -8 32) A rock falls from a tower that is 272 ft high. As it is falling, its height is given by the function h(t) -272 - 16t2. How many seconds will it take for the rock to hit the ground? State the interval on which the function is decreasing. 45) f(x) X2+2x+2 $4.6-Solve the inequality. Write your answer in interval notation. $3.4 -Solve. 46) (x-3)(x+2)(x-7)20 12 x-3x x2-3x 47) 3x3 - 11x2 s 20xExplanation / Answer
23) y = sqrt x is shifted 10 units left and 5 units upwards
so we can write the function as
y = sqrt ( x + 10 ) + 5
24) 8x^2 + 4 = 1156
8x^2 = 1156 - 4
8x^2 = 1152
dividing both sides by 8
x^2 = 1152 / 8
x^2 = 144
x = + - 12
solutions are x = +12 , -12
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