Weekly summary College algebra

 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)?