Algebra study guide 15

College Algebra Name: Study Guide 15 Class: Due Date: Score: No Work ⇔ No Points Use Pencil Only ⇔ Be Neat & Organized 1. Consider f (x) = −x3 + 9x, (a) (1 point) Find its y-intercept. (a) (b) (3 points) Find all x-intercepts. (b) (c) (2 points) Discuss the endpoint behavior. (c) (d) (3 points) Construct the sign chart, and discuss the above and below the x-axis in interval notation. (d) Page 1 of 4 Study Guide 15 Total Points: 50 (e) (3 points) Graph f (x). Clearly mark all relevant information. y x 2. Consider f (x) = −(x + 4)(x − 2)3 , (a) (2 points) Find its y-intercept. (a) (b) (2 points) Find all x-intercepts. (b) (c) (3 points) Discuss the endpoint behavior. (c) (d) (3 points) Construct the sign chart, and discuss the above and below the x-axis in interval notation. (d) Page 2 of 4 Study Guide 15 Total Points: 50 (e) (3 points) Graph f (x). Clearly mark all relevant information. y x 3. Consider f (x) = 4−x , x−2 (a) (2 points) Find the domain, and express your answer in interval notation. (a) (b) (2 points) Find its y-intercept. (b) (c) (2 points) Find all x-intercepts. (c) (d) (3 points) Find all its asymptotes (d) (e) (2 points) Does the graph of f (x) crosses its horizontal asymptote? Show your work. (e) Page 3 of 4 Study Guide 15 Total Points: 50 (f ) (3 points) Graph f (x). Clearly mark all relevant information. y x 4. Consider f (x) = −x x2 − 9 , (a) (2 points) Find the domain, and express your answer in interval notation. (a) (b) (3 points) Find all its intercepts. (b) (c) (3 points) Find all its asymptotes (c) (d) (3 points) Graph f (x). Clearly mark all relevant information. y x Page 4 of 4 Study Guide 15 Total Points: 50