2. Sketch the graph of each given function by doing the following (box your answer to each of the questions) 1. Determine the domain of the function. Use limits to find the equations of the vertical and horizontal asymptotes (if any) 2. Find all the critical points (both coordinates)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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How do I do B while following these steps?
7:15
< Back
b) s(x) =
Dashboard
Calendar
Q7.pdf
To Do
A
D
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Transcribed Image Text:7:15 < Back b) s(x) = Dashboard Calendar Q7.pdf To Do A D Notifications 96 Inbox
2. Sketch the graph of each given function by doing the following (box your answer to each of the questions)
1. Determine the domain of the function. Use limits to find the equations of the vertical and horizontal asymptotes (if any)
2. Find all the critical points (both coordinates)
3. Build a sign chart for f'(x) that indicates the values of x where f' is positive and where it is negative. Use that chart to
determine the intervals where the function is increasing and the ones where it is decreasing (be sure to write your answer
in interval form). Classify each critical point as a local max, local min, or neither
5. Build a sign chart for f"(x) that indicates the values of x where f" is positive and where it is negative. Use that chart
to determine the intervals where the function is concave up and the ones where it is concave down (be sure to write your
answer in interval form). Determine the inflection points (both coordinates)
4. Find the y- intercept
5. Use that information to graph the function. Your graph must CLEARLY show all the information found above.
Graphs from calculators will receive not credit
Transcribed Image Text:2. Sketch the graph of each given function by doing the following (box your answer to each of the questions) 1. Determine the domain of the function. Use limits to find the equations of the vertical and horizontal asymptotes (if any) 2. Find all the critical points (both coordinates) 3. Build a sign chart for f'(x) that indicates the values of x where f' is positive and where it is negative. Use that chart to determine the intervals where the function is increasing and the ones where it is decreasing (be sure to write your answer in interval form). Classify each critical point as a local max, local min, or neither 5. Build a sign chart for f"(x) that indicates the values of x where f" is positive and where it is negative. Use that chart to determine the intervals where the function is concave up and the ones where it is concave down (be sure to write your answer in interval form). Determine the inflection points (both coordinates) 4. Find the y- intercept 5. Use that information to graph the function. Your graph must CLEARLY show all the information found above. Graphs from calculators will receive not credit
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