The exam will consist of approximately 10 problems taken from the following 19 types:
1. Rationalize a numerator or denominator. (R6 # 53-72)
2. Find the domain of a function. (1.1 # 31-46)
3. Find the equation of a line, given a point and the slope, or given two points. (1.2 # 31-46)
4. Given the equation of a line, graph the line. (1.2 # 23-30 plus graphing)
5. Determine whether a given set of points would be reasonably modeled by a linear function. (1.3 # 1-8)
6. Use Maple to find where a function is increasing and decreasing, or to find local maxima and minima. (1.4 # 5-14)
7. Graph a piecewise-defined function (all of whose pieces are linear) by hand. (1.4 # 35-42)
8. Given the formula for a function f, find and simplify. (1.4 # 77-82)
9. Given a graph of a function, draw various variations – similar to 1.5 problems 76-83, except that I’ll ask you to draw the new function on top of the original.
10. Test a function algebraically and graphically to determine whether it's even, odd or neither; whether it's symmetric about the x-axis, y-axis, origin, or none. (1.5 # 7-42)
11. Solve a variation problem, whether simply a formula (1.6 # 1-12, 25-34) or a word problem. (1.6 # 14-24, 35-40)
12. Given the equation of a circle in (x - h)2 + (y - k)2 = r2 format, find center and radius and graph it. (1.7 # 33-40)
13. Given the center and radius of a circle, find its equation. (1.7 # 25-29)
14. Find the zero of a linear function (algebraically). (2.1 # 3-34)
15. Multiply two complex numbers. (2.2 # 11-14)
16. Solve a quadratic equation, or find zeroes of a quadratic function, using the quadratic formula. (2.3 # 11-22)
17. Solve a quadratic equation, or find zeroes of a quadratic function (2.3 # 29-36, 43-48)
18. Given a parabola in the form y = a(x - h)2 + k, graph it by hand. (2.4 # 11-18)
19. Given a parabola in the form y = ax2
+ bx + c, find the vertex, and using the vertex, put it in
the form y = a(x - h)2 + k.
(2.4 # 3-10, 19-26)