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**Unformatted text preview: **COX =- 15
d)
X =- IS
Construct a second derivative sign chart to find the intervals where f is concave up or concave down.
6
3 ( 2 x +5 )
2 x + 5 = 0
- 10
* = - 5
N
fuck ) ( - 5 00 )
Concave Up:
f " ( 1 ) = 217
Concave Down:
f" ( - 10 ) = - 45 Xx
d) Find the coordinates of the inflection point(s), if any. + -change.
- Y
304
( -2 , 8( 21 ) -
5
301
2
4
Intercepts
critical
e)/Verify that the critical number(s) is/are extemum/extrema using the Second Derivative Test.
fi ( - 5
=
( - 6 ,161)
f" ( - 10) = - 45 #
( 1 1 - 10.5 ) r
5" ( 1) = 21 70
2 is a minimum
f) Make a rough sketch the graph of f(x), labeling all points found. Adjust the scale to fit the problem.
f (x ) = *3+ 2 x2- 18 x- 1
to of
- 15
100
- 150
NIGNIS
1 2-18x - 1 1= 0
(0) - 18(0) - 1 = - 1
6 of 7...

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- Fall '19