Homework 8 PDF - Math 22

Math 22 - College Algebra with Analytic Geometry and Applications II Homework 8 Instructions: Full Solutions to these problems must be uploaded to Canvas before the deadline. Solutions must be organized, legible, and all papers m...

Math 22 - College Algebra with Analytic Geometry and Applications II Homework 8 Instructions: Full Solutions to these problems must be uploaded to Canvas before the deadline. Solutions must be organized, legible, and all papers must be stapled. Points will be deducted for incomplete reasoning and disorganized work, even if your answers are correct. No late submissions will be accepted. Problem 1: Symbolic solve each equation. √ √ a. 3 2x − 2 = 3 3x + 4 d. x−2 + 3x−1 + 2 = 0 √ √ b. 3x3/2 − 9x1/2 + 6x−1/2 = 0 e. 2x − 4 + 2 = 3x + 4 √ √ c. 3x + 1 = 3 + x−4 f. 6x−2/3 − 13x−1/3 − 5 = 0 Problem 2: Use the graph of f (x) = axn , given below, where n is a nonzero integer, to complete the following questions. a. Is n odd or even? Is n positive or negative? Justify and explain your answer b. Is the coefficient ”a” positive or negative? Justify and explain your answer c. What type of symmetry does the graph exhibit? Justify and explain your answer d. Over what interval(s) is f (x) positive, if any? e. Over what interval(s) is f (x) negative, if any? f. Over what interval(s) is f (x) increasing, if any? g. Over what interval(s) is f (x) decreasing, if any? h. Does f (x) have a horizontal asymptote? If yes, then state its equation. i. Does f (x) have a vertical asymptote? If yes, then state its equation. Page 1 of 1