Consider the following. (If an answer does not exist, enter DNE.) f(x) = 540x + 3x² - 2x³ (a) Find the interval(s) of increase. (Enter your answer using interval notation.) Find the interval(s) of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) Find the local maximum value(s). (Enter your answers as a comma-separated list.) (c) Find the inflection point. -([ Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) (x, y) = Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
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Consider the following. (If an answer does not exist, enter DNE.)
f(x) = 540x + 3x² - 2x³
(a) Find the interval(s) of increase. (Enter your answer using interval notation.)
Find the interval(s) of decrease. (Enter your answer using interval notation.)
(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)
Find the local maximum value(s). (Enter your answers as a comma-separated list.)
(c) Find the inflection point.
-([
Find the interval(s) where the function is concave up. (Enter your answer using interval notation.)
(x, y) =
Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)
(d) Use the information from parts (a)-(c) to sketch the graph. Check your work with a graphing calculator of compute
y
3000
2000
1000
y
4000
3000
2000
Transcribed Image Text:Consider the following. (If an answer does not exist, enter DNE.) f(x) = 540x + 3x² - 2x³ (a) Find the interval(s) of increase. (Enter your answer using interval notation.) Find the interval(s) of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) Find the local maximum value(s). (Enter your answers as a comma-separated list.) (c) Find the inflection point. -([ Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) (x, y) = Find the interval(s) where the function is concave down. (Enter your answer using interval notation.) (d) Use the information from parts (a)-(c) to sketch the graph. Check your work with a graphing calculator of compute y 3000 2000 1000 y 4000 3000 2000
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