Algebra study guide 14

College Algebra Name: Study Guide 14 EC Class: Due Date: Score: No Work ⇔ No Points Use Pencil Only ⇔ Be Neat & Organized Visit the website www.wolframalpha.com, and then type in your equation in that box as displayed below. Use the website above to solve the following questions. 1. Consider p(x) = x3 + 2×2 − 16x − 32, (a) (2 points) Factor p(x) completely. (a) (b) (2 points) Find all x-intercepts. (b) (c) (2 points) Find its y-intercept. (c) (d) (2 points) Find a reasonable upper bound. Use synthetic division to support your answer. (d) Page 1 of 4 Study Guide 14 EC Total Points: 50 (e) (2 points) Find a reasonable lower bound. Use synthetic division to support your answer. (e) (f ) (4 points) Graph p(x). Clearly mark all intercepts. y x 2. Consider p(x) = 2×4 + 3×3 − 7×2 + 3x − 9, (a) (2 points) Factor p(x) completely. (a) (b) (2 points) Find all x-intercepts. (b) (c) (2 points) Find its y-intercept. (c) (d) (2 points) Find a reasonable upper bound. Use synthetic division to support your answer. (d) Page 2 of 4 Study Guide 14 EC Total Points: 50 (e) (2 points) Find a reasonable lower bound. Use synthetic division to support your answer. (e) (f ) (4 points) Graph p(x). Clearly mark all intercepts. y x x2 − 4 3. Consider f (x) = , x2 − 1 (a) (2 points) Write f (x) in factored form. (a) (b) (2 points) Find its domain in interval notation. (b) (c) (2 points) Find all x-intercepts. (c) (d) (2 points) Find its y-intercept. (d) Page 3 of 4 Study Guide 14 EC Total Points: 50 (e) (4 points) Graph f (x). Clearly mark all intercepts. y x 4. Consider f (x) = 4 , x2 + 1 (a) (2 points) Find its domain in interval notation. (a) (b) (2 points) Find all x-intercepts. (b) (c) (2 points) Find its y-intercept. (c) (d) (4 points) Graph f (x). Clearly mark all intercepts. y x Page 4 of 4 Study Guide 14 EC Total Points: 50