Download Precalculus I - Review Sheet for Examination 4 | MATH 161 and more Exams Pre-Calculus in PDF only on Docsity! Math 161 Review for Exam 4 1. Use the graph of the function y = f(x) to draw the graph of its inverse if possible. (a) (b) (c) 2. Find the inverse function and its domain if possible. (a) {(2, 4), (3, 5), (3, 7)} (b) 4,3,6,2,9,1 3. Find the inverse function and its domain if possible. (a) 2 1 x xf (b) xxf (c) 9/325 xxc (d) 2xxf (e) xxxf (f) 0 0 2 xifx xifx xf (g) xxf (h) 13 xxf (i) 23 3xxxf 4. Find a formula for the quadratic function satisfying: (a) vertex (3, 2), point (1, 6) (b) vertex (1, 2), intercept (0, 3) 5. Identify the vertex, and intercepts of the following quadratic functions. (a) 942 xxxf (b) 29 xxf (c) 1562 xxxf 6. Find the zeros of the following polynomials and indicate the multiplicity. (a) 23 4xxxf (b) 3613 24 xxxf (c) 1243 23 xxxxf (d) 422 xxxf (e) 822 xxxf (f) 122 xxxf 7. Sketch the graphs of the above polynomials. 8. Divide using long division. (a) 12513136 23 xxxx (b) 231031196 23 xxxx 9. Divide using synthetic division. (a) 41131142 23 xxxx (b) 3853 xxx 10. Re-do problem 9 above using long division. Math 161 Answers to Review for Exam 4 1.(a) (b) (c) no inverse 2.(a) not a function (b) inverse {(9, 1), (6, 2), (4, 3)}, domain {9, 6, 4} 3.(a) xxf 121 , domain {x: x 0} (b) 21 xxf , domain {x: x 0} (c) 3259 1 xxc , domain (d) no inverse (e) 0 01 xifx xifx xf , domain (f) 0 01 xifx xifx xf , domain (g) no inverse (h) 31 1 xxf , domain (i) no inverse 4.(a) 23 2 xxf (b) 21 2 xxf 5.(a) vertex (2, 5), intercept (0, 9). (b) vertex (0, 9), intercepts (0, 9), ( 3, 0). (c) vertex (3, 24), intercepts (0, 15), 0,623 6.(a) 0 with multiplicity 2, 4 with multiplicity 1 (b) 3, 2, each with multiplicity 1 (c) 2, 3, each with multiplicity 1 (d) none (e) 2, 4, each with multiplicity 1 (f) 1 with multiplicity 2
