Download Review Sheet - Precalculus | Final Exam | MA 180 and more Study notes Pre-Calculus in PDF only on Docsity! MA 180 Final Exam Outline The final exam is Monday, December 15th, 12:30 – 2:30 pm. Students may use one (1) double-sided 3 x 5 handwritten index card (or two single-sided 3 x 5’s) for the final exam. The Math/Science Center is holding a review session on Sunday, May 14th, 12:00 – 2:00 Room 111 SW. The numbers in parentheses ( ) indicate MA 180 Course Review problems. Students should be able to: 1. Given a function: (a) State the domain using appropriate math notation (1) (b) Identify the interval(s) where function is increasing/decreasing; (5) (c) Approximate the relative maximum/minimum (d) Compose, combine, and decompose functions (10) (11) (e) Evaluate a function (3) (f) Find zeros of a function (3) (g) Find the inverse of a function. (21) (23) (h) Classify functions as polynomial, linear, rational exponential, logarithmic, or sinusoidal. (42) (43) 2. Analyze the graph of a function (to include polynomial, rational, exponential, logarithmic, or trigonometric functions.) (12) (15) (16) (22) (24) (29) (30) (42). 3. Graph a piecewise function. 4. Find and simplify the difference quotient. Find the slope of the secant line. Find the average rate of change. (4) (42b) 5. Solve equations algebraically: (a) find all zeros (real and non-real) of polynomial functions (13) (b) solve rational equations (16) (c) solve inequalities. (18) (45) (d) solve exponential and logarithmic equations (19) (25) (26) (e) solve trigonometric equations. (37) (39) 4. Trigonometry: (a) find the exact value of the six trigonometric functions of any angle in standard position; (28) (33) (34) (b) determine the amplitude, period, and phase shift of a transformed function;(29) (30)(31) (c) Use Fundamental Trigonometric Identities, Sum/Difference Formulas, and Double-Angle Formulas to evaluate trigonometric expressions and solve trigonometric equations. (32)(33) 5. Application Problems: (a) find the maximum/minimum value (6) (b) exponential growth and decay; (20) (27) (c) right triangle trig (40) (d) use your graphing calculator to find a regression equation (14) 6. True/False
