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Home Q & A Board Science-Related Homework Help Mathematics
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quixie quixie
wrote...
solved
8 years ago
Determine the intervals where f(x) = (10/3)x^3 +(13/2)x^2 -3x +5 is concave up and concave down.

a. concave down for x < -13/20 ; concave up for x > -13/20

b. concave down for x < -3/2 ; concave up for x > -3/2

c. concave down for x<1/5 ; concave up for x>1/5

d. concave down for x<-3/2 and x>1/5 ; concave up for -3/2<x<1/5
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4 Replies

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wrote...
#1
Educator
8 years ago
solve f '(x) = 0 Rightwards Arrow critical points
solve f "(x) = 0 Rightwards Arrow infection points

solve f '(x) > 0 Rightwards Arrow f(x) increasing

solve f "(x) > 0 Rightwards Arrow f(x) concave up
quixie Author
wrote...
#2
8 years ago
Thank you for your help!
wrote...
#3
Educator
8 years ago
Which did you end up choosing?
quixie Author
wrote...
#4
8 years ago
I ended up picking A.
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