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The graph of y = x" is shifted 6.2 units to the right and then vertically shrunk by a factor of 0.4. Which of the following equations represents the graph with the given description? O B) y = 0.4(x + 6.2)3 O y= 0.4x3+ 6.2 O C) y = 6.2(x - 0.4)3 O y = 0.4(x - 6.2)3 Consider the graph of a function f shown in the figure below. Which of the following piecewise formulas describes the graph? 4+ 2 o f( x) = x +3 ifxSO if x > 0 of(x) -x +3 if x 5 0 -Nx if x > 0 of(x) = x - 3 ifx5 0 - x 2 if x > 0 o f(x) = x+3 if x 0 - Nx ifx >0Give the domain and range of the function f (a) = ' 0.6 +4 O Domain: (-co, 0) U (0, co ); range: (4, co ) O Domain: (-co , 0.6) U (0.6, co ); range: (-00 , 4) O Domain: (-co , 4) U (4, . ); range: (0, co ) O Domain: (-co , 0) U (0, . ); range: (-4, 20 )Consider the graph of the polynomial function Pm] = 323 + 5:1":2 12$ 36.. Give the solution set of Pix) 3' 0 using interval notation. O {-00 . -2) U (3, 6) O {-6,-2) U (3, as) O {-3, -2) U (6, 00) O {-00 . -6) U (-2: 3i Which of the following rational functions might describe the graph in the illustration below? _ 1+2 0 Rix) _ (2)(3:+3] Solve each equation. Round answers to 3 decimal places if necessary. a. log I (72) = 3 b. 51-3 = 430 Use the graph of a piecewise function to answer the following: f(x) 5 4- 3 2- 1 -4 -3 2 1 0 1 2 3 a. Identify the domain using interval notation. b. Identify where this function is increasing using interval notation.Use the given graph ofa polynomial to answer the following questions. a. Is the degree of this polynomial even or odd? b. Give the (x.y} coordinates of the local maximum. o. Is the multiplicity of the factor (it-4.5} even or odd? (1. True or False: There is an absolute minimum at (3. -6). Solve and write your answer using interval notation. 35 - 9x + 5 > 62 - 2x A certain company rents cars for $90 plus $.75 per mile driven. Write an equation that relates the cost C as a function of the miles driven x. O x=900+.75 C) C=90x+.75 C) 0:.T5X +90 0 x:.75C+90 Which of the following represents a 3rd degree polynomial function in factored form with real coefficients that has given zeros: -5 and 3+i Of (x) = (2 -5)(22 +8) O (f(z) = (2 + 5)(202 +8) Of ((x) = (2 -5)(x2 - 6x + 10) of(2) = (2+5)(12 - 6x + 10)Which one of the equations represents the graph of if we shift it six units to the left and reect it across the xaxis. O V'E+ O 1im+ 0H om Of om Identify the vertical asymptote(s): f (a ) = 94 12 -1 O Only x=94 O Only y = 1 O Only y=94 O x=1, x=-1 O y=1, y=-1 O Only x=1Identify the vertex and axis of symmetry of the function f (x) = 7x2 + 4x -5 O (2,52); X=2 O (-1,-12); X=-1 O (-2,9); X=-2 O (1, 16); X=11Which quadrant is the terminal side of the angle 260 if the angle is drawn in standard position? 0 Quadrant IV C) Quadrant III C) Quadrant V O Quadrant ll 0 Quadrant l Which of the following angles is the reference angle for 5 O 11 O 5 O 5 OUse the given graph to answer the following 4 questions: Use the given graph to answer the following 4 Questions: y What is the amplitude of the graph? 0 1 O 2 O 4 O 3 Use the given graph to answer the following 4 questions: y 2 -27 T What type of trigonometric function could this graph represent? O Tangent O Cosine only O Sine or Cosine O Cosecant O Sine onlyUse the given graph to answer the following 4 Questions: 9 What is the period of this function? 0 1 Cl 311' O 3 0 g 0 2 0 7r Use the given graph to answer the following 4 questions: y 1- T 2 -27 -7 What is the range in interval notation? O [-1,3 ] O [-1, 1 ] O [-37, 37] O (-00, 00)Write the equation of a cosine function with an amplitude of 3 and a period of 2. O y = -3 COS TT O y = 3 cos 2T O y = 2 cos 31 O y = cos 2 O y = 2 COST