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.Iff(x) = x²-2x-24andg(x) = x²-x-30, find (f-g)(x).

4.Iff(x) = x+4andg(x) = 2x²-x-1, evaluatethe composition (g o f)(2).

5.Iff(x) = x+4andg(x) = 2x²-x-1,findthe 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 theverticalasymptote of the rational function f(x) = 3x / (2x - 1)?

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