Semester Exam Study Guide. Honors Precalculus. Chapter 1. 1. Solve a
polynomial function algebraically. 2. Find the domain of functions. 3. Find the ...
Semester Exam Study Guide Honors Precalculus
Chapter 1 1. Solve a polynomial function algebraically. 2. Find the domain of functions. 3. Find the combination and composition of two functions and the corresponding domain. 4. Determine if a function is even, odd, or neither algebraically and graphically. 5. Given parametric equations, find point values, graph the curve, and eliminate the parameter. 6. Find the inverse of a function. 7. Draw an inverse of a function. 8. Analyze a function. (domain, range, continuity, symmetry, boundedness, increasing/decreasing behavior, max and min values, end behavior using limits, behavior around vertical asymptotes using limits) 9. Given transformations to a function, write the new function. 10. Solve a modeling problem (volume of a box). Chapter 2 11. By completing the square, put a quadratic in vertex form, identify the vertex, and axis of symmetry. 12. Find all zeros of a polynomial function algebraically. 13. Given one zero, find the remaining zeros algebraically. 14. Find all zeros of a polynomial function using possible rational roots, synthetic division, and algebra. 15. Solve an equation in one variable. 16. Solve an inequality using a sign chart. Chapter 3 17. Determine an exponential function given a table of values. 18. Analyze a function, (exponential, logistic, or logarithm) 19. Solve a half-‐life problem. 20. Determine a formula for a logistic function. 21. Evaluate logarithms without a calculator. 22. Solve an exponential equation. 23. Solve a logarithmic equation. 24. Solve a compound interest problem. Chapter 4 25. Explain what a radian is. 26. Convert from degrees to radians and radians to degrees. 27. Evaluate trigonometric ratios of angles. 28. Graph one complete cycle of a sine function, cosine function, cosecant function, secant function, tangent function, and cotangent function. General Knowledge Be able to draw a sketch of each of the following types of functions: Linear/Identity, Quadratic, Cubic, Rational/Reciprocal, Square Root, Exponential, Logistic, Logarithmic.