Use algorithm to sketch the curve given by the function f(x) = 1 4 x +2x2 +1 [A:6] a) Determine the y-intercept(s) if exist b) State the asymptote (if exist). c) Determine the critical number (s) if exist, d) Use the critical number (s) you found in part c) and check if those critical numbers are local maximum or local minimum using the sign table. e) Determine the x-value at which the inflection point(s) occurs. f) Sketch the curve based on the above information.
Use algorithm to sketch the curve given by the function f(x) = 1 4 x +2x2 +1 [A:6] a) Determine the y-intercept(s) if exist b) State the asymptote (if exist). c) Determine the critical number (s) if exist, d) Use the critical number (s) you found in part c) and check if those critical numbers are local maximum or local minimum using the sign table. e) Determine the x-value at which the inflection point(s) occurs. f) Sketch the curve based on the above information.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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![Use algorithm to sketch the curve given by the function f(x) = -x* + 2x2 + 1 [A:6]
a) Determine the y-intercept(s) if exist
b) State the asymptote (if exist).
c) Determine the critical number (s) if exist,
d) Use the critical number (s) you found in part c) and check if those
critical numbers are local maximum or local minimum using the sign
.4
4
table.
e) Determine the x-value at which the inflection point(s) occurs.
f) Sketch the curve based on the above information.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd6f5f65-b970-451e-965c-fe91ac26c60e%2Fa302d82b-5685-460a-bb16-cd231fdba141%2Fglgc8ke_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use algorithm to sketch the curve given by the function f(x) = -x* + 2x2 + 1 [A:6]
a) Determine the y-intercept(s) if exist
b) State the asymptote (if exist).
c) Determine the critical number (s) if exist,
d) Use the critical number (s) you found in part c) and check if those
critical numbers are local maximum or local minimum using the sign
.4
4
table.
e) Determine the x-value at which the inflection point(s) occurs.
f) Sketch the curve based on the above information.
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