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Analyzing Functions Inverses and Combinations Polynomial and Radical Functions Rational and Logs/Exp Functions 10 10 10 10 20 20 20 20 30 30 30 30 40 40 40 40 Final Jeopardy! Analyzing Functions – 10 Points ANSWER: •: −2 ≤ ≤ 2 Analyzing Functions – 20 Points ANSWER: •Reflect over x-axis, vertical compression by 1/3 (multiply yvalues by 1/3, translation down 2 and left 4. Analyzing Functions – 30 Points ANSWER: •odd Analyzing Functions – 40 Points 2 +−6 −2 Is the function = continuous at = 2? If not, state the type of discontinuity. ANSWER: •No; removable discontinuity Inverses & Combinations – 10 Points Decide whether the functions () and () are inverses of each other. ANSWER: •Yes – make sure that = AND = Inverses & Combinations – 20 Points Find the inverse of ANSWER: • −1 = 3 5 + 2 Inverses & Combinations – 30 Points ANSWER: • + = 2 − 3 + 4 • − = 2 − − 2 Inverses & Combinations – 40 Points ANSWER: • = 4 2 − 12 + 8 Polynomials/Radicals – 10 Points ANSWER: • = 0, = 5, = −5 Polynomials/Radicals – 20 Points ANSWER: •Degree= 6, zeros: = 3, = −5 Polynomials/Radicals – 30 Points Divide the polynomial ANSWER: • 2 + − 2 by x-5. Polynomials/Radicals – 40 Points Solve the equation: ANSWER: • = 9 16 Rationals&Logs/Exp – 10 Points ANSWER: 1 2 •log + log( + 2) Rationals&Logs/Exp – 20 Points Solve the equation: ANSWER: • = 9 Rationals&Logs/Exp – 30 Points ANSWER: •A) $3645.49 •B) $3645.93 Rationals&Logs/Exp – 40 Points Find the domain and all asymptotes (vertical or horizontal) of the function ANSWER: •: ≠ ±2 , VA: = 2 and = −2, HA: = 0 Final Jeopardy In order to calculate the height of a mountain peak, a surveyor measured the angle of elevation from a certain stake and found it to be 14.5°. Then he advances over a ground level toward the peak and set a second stake, from which the angle of elevation was found to be 18.75°. The distance between the stakes was 2,386 ft. Find the height of the peak above ground level. ANSWER: •2591.20 ft