WEEKLY SUMMARY COLLEGE ALGEBRA

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