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Weekly summary College algebra

11/08/2020 Client: lyjly0515 Deadline: 3 days

 A maximum of 5 or .25% bonus points will be awarded for 5 correct answers  with step by step explanations. 


 



  1. Find the vertex of the parabola f(x) = x2 - 16x + 63.




  2. Find the x- and y-intercepts of the cubic function f(x) = (x+4)(2x-1)(x-1).




  3. If  f(x) = x2-2x-24  and  g(x) = x2-x-30, find (f-g)(x).




  4. If  f(x) = x+4  and  g(x) = 2x2-x-1, evaluate the composition (g o f)(2).




  5. If  f(x) = x+4  and  g(x) = 2x2-x-1, find the composition (f o g)(x).




  6. Write the following sentence as an equation:  y varies directly as x.




  7. Write the following sentence as an equation:  x is directly proportional to y and is inversely proportional to the cube of z.




  8. What are the zeros of the parabola:  f(x) = x2 - 7x + 10 (that is, what are the x-intercepts or the points where the graph crosses the x-axis)?




  9. What is the vertical asymptote of the rational function f(x) = 3x / (2x - 1)?




  10. What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?

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