algebra study guide 7
No Work ⇔ No Points Use Pencil Only ⇔ Be Neat & Organized 1. (3 points) Write 4x − 5y = 15 in slope-intercept form, then express your answer in function notation. 1. 2. (8 points) Graph both linear functions in each system, clearly mark intercepts, rise and run of the slope, or any point used in the graph: 2 x−2 3 −3 g(x) = x 2 f (x)= f (x) = 2x − 3 g(x) = 3 y y x Page 1 of 4 Study Guide 7 x Total Points: 50 3. Consider the function f (x) = x2 − 4, (a) (1 point) Find f (0). (a) (b) (1 point) Find f (−2). (b) (c) (3 points) Find the difference quotient f (x + h) − f (x) h . (c) x−4 4. Consider the function f (x) = x+2 , (a) (2 points) Find f (4). (a) (b) (2 points) Find f (−2). (b) 5. Consider the function f (x) = |x − 1| − 1 , (a) (1 point) Find f (0). (a) (b) (1 point) Find f (2). (b) Page 2 of 4 Study Guide 7 Total Points: 50 6. Consider the following relation: (a) (2 points) Find its domain. (a) (b) (2 points) Find its range. (b) (c) (2 points) Is this relation a function? Justify your answer. (c) 7. Consider t he graph below: 3 2 1 -5 -4 -3 -2 -1 0 -1 0 1 2 3 4 5 -2 -3 (a) (2 points) Give its domain in interval notation. (a) (b) (2 points) Give its range in interval notation. (b) (c) (2 points) Use the graphing area above to draw a new graph by shifting the given graph one unit left, then two units down. Page 3 of 4 Study Guide 7 Total Points: 50 8. Consider the graph below: 7 6 5 4 3 2 1 0 1 2 (a) (2 points) Give its domain in interval notation. (a) (b) (2 points) Give its range in interval notation. (b) (c) (2 points) Does this graph belong to a function? Justify your answer. (c) (d) (2 points) Give any y−intercept. (d) (e) (2 points) Give any x−intercept. (e) 9. Algebra Review Problems: 2 (a) (2 points) Factor 3x − 16x − 35. (a) (b) (2 points) Solve (3x + 5)(x − 7) = 0 by using the zero-factor theorem. 2 2 (b) (c) (2 points) Simplify (3x − 5) − (3x + 5) . (c) Page 4 of 4 Study Guide 7 Total Points: 50
Collepals.com Plagiarism Free Papers
Are you looking for custom essay writing service or even dissertation writing services? Just request for our write my paper service, and we'll match you with the best essay writer in your subject! With an exceptional team of professional academic experts in a wide range of subjects, we can guarantee you an unrivaled quality of custom-written papers.
Get ZERO PLAGIARISM, HUMAN WRITTEN ESSAYS
Why Hire Collepals.com writers to do your paper?
Quality- We are experienced and have access to ample research materials.
We write plagiarism Free Content
Confidential- We never share or sell your personal information to third parties.
Support-Chat with us today! We are always waiting to answer all your questions.
