The exam will consist of approximately 15 problems taken from the following 24 types:

1. Rationalize a numerator or denominator. (Section R6 problems 53-72)
2. Find the domain of a function. (Section 1.1 problems 31-46)
3. Find the equation of a line, given a point and the slope, or given two points. (Section 1.2 problems 31-46)
4. Given the equation of a line, graph the line. (Section 1.2 problems 23-30 plus graphing)
5. Use Maple to find where a function is increasing and decreasing, to find zeros of functions, or to find local maxima and minima.  (Section 1.4 problems 5-14)
6. Graph a piecewise-defined function (all of whose pieces are linear) by hand. (Section 1.4 problems 35-42)
7. Given the formula for a function f, find (f(x+h) - f(x))/h  and simplify. (Section 1.4 problems 77-82)
8. 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.  (Section 1.5 problems 7-42)
9. Given the equation of a circle in (x - h)² + (y - k)² = r²  format, find center and radius and graph it. (Section 1.7 problems 33-40)
10. Solve a quadratic equation, or find zeroes of a quadratic function, using the quadratic formula. (Section 2.3 problems 11-22)
11. Add fractions of polynomials (Section R5 problems 25 – 44)
12. Solve linear inequalities, including involving absolute value (Section 2.7 problems 13 – 32, 39 – 54)
13. Graph a rational function by hand by plotting zeros, vertical asymptotes, horizontal asymptotes, and then using multiplicity of zeros and asymptotes to find out when it changes sign. (Section 3.4 problems 7 – 42)
14. Solve polynomial and rational function inequalities by graphing.  (Section 3.5 problems 9 – 50)
15. Solve equations involving fractions of polynomials, square roots (Section 2.6 problems 1 – 17, 24 – 32)
16. Given two functions, f and g, find  f(g(x)) (Section 4.1 problems 1-12)
17. Given a composite function h, decompose it into two functions, f and g, such that h(x) =  f(g(x)) (Section 4.1 problems 13-24)
18. Solve equations involving exponential functions or logarithms.  Given an expression with logarithms, either expand in terms of sums and differences, or express as a single logarithm. (Section 4.4 problems 17-38)
19. Given that a phenomenon is growing or decaying exponentially, and given the value of the phenomenon at two times, find the general formula for its growth or decay and the value at another time, by finding the constants P₀ and k in  P = P₀e^kt. (Section 4.6 problems 12-14)
20. Given the equation of a line the terminal side of an angle lies on, or given a point on the line of the terminal side of an angle, find the values of the trigonometric functions of that angle.  (Section 5.4 problems 1-16)
21. Use right-triangle trigonometry to find sides of triangles, either in word problems or simply on diagrams.  (Section 5.5 problems 1-4, 19, 20; section 7.1 problems 1-22)
22. Prove a trigonometric identity. (6.3 problems 1-30)
23. Simplify things such as tan(arccos(3/x))  (6.4 problems 37-57)
24. Given the graph of a function of the form f(x) = ax + b; f(x) = a(x – h)² + k;  f(x) =  e^x-a + b;  f(x) =  ln(x – a) + b;  f(x) = Acos(bx + c) + D;  or  f(x) = Asin(bx + c) + D  decide which it is, and find the constants involved (a, A, b, c, D, h, k).