4. Let f (x) = x³ -x² + 5. a) Find the y-intercept of f. y-intercept: b) Find f' and f", and determine where each are 0 and/or do not exist (DNE). If none, write "none". f' = 0: f' DNE: f" = 0: f" DNE: c) E Do a sign analysis on f' and f".
4. Let f (x) = x³ -x² + 5. a) Find the y-intercept of f. y-intercept: b) Find f' and f", and determine where each are 0 and/or do not exist (DNE). If none, write "none". f' = 0: f' DNE: f" = 0: f" DNE: c) E Do a sign analysis on f' and f".
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
![4. Let f (x) = x³ -x² + 5.
a)
Find the y-intercept of f.
y-intercept:
b) Find f' and f", and determine where each are 0 and/or do not exist (DNE). If none, write
"none".
f' = 0:
f' DNE:
f" = 0:
f" DNE:
c) E Do a sign analysis on f' and f".
d)
Find the intervals on which f is increasing and decreasing.
Increasing:
Decreasing:
e)
Find the intervals on which f is concave up and concave down.
Concave up:
Concave down:
f)
answers as (x, y) points.
Find all local maxima, local minima, and inflection points of f. Be sure to write your
Local max:
Local min:
Inflection point(s):
-4
-3
-1
g)
Sketch the graph of f.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1728920-6e41-44bf-9744-ac0a64f4d19a%2Ff9a60ed3-b479-4194-9eb1-9bad5ac53fb7%2Ftrhiw5l_processed.png&w=3840&q=75)
Transcribed Image Text:4. Let f (x) = x³ -x² + 5.
a)
Find the y-intercept of f.
y-intercept:
b) Find f' and f", and determine where each are 0 and/or do not exist (DNE). If none, write
"none".
f' = 0:
f' DNE:
f" = 0:
f" DNE:
c) E Do a sign analysis on f' and f".
d)
Find the intervals on which f is increasing and decreasing.
Increasing:
Decreasing:
e)
Find the intervals on which f is concave up and concave down.
Concave up:
Concave down:
f)
answers as (x, y) points.
Find all local maxima, local minima, and inflection points of f. Be sure to write your
Local max:
Local min:
Inflection point(s):
-4
-3
-1
g)
Sketch the graph of f.
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