Consider the following. = 3x³ + x y = (a) Find the interval(s) of increase. O (-∞0, 0) 0 (0,00) O (0, 3) 00 0 (-00,00) Find the interval(s) of decrease. 0 (0,00) O (0, 3) 00 0 (-∞0, ∞0) 0 (-00, 0)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Consider the following.
y = 3x³ + x
(a) Find the interval(s) of increase.
O (-∞0, 0)
O (0,00)
(0, 3)
0 (-00,00)
Find the interval(s) of decrease.
O (0,00)
O (0, 3)
0 (-∞0,00)
0 (-00, 0)
Transcribed Image Text:Consider the following. y = 3x³ + x (a) Find the interval(s) of increase. O (-∞0, 0) O (0,00) (0, 3) 0 (-00,00) Find the interval(s) of decrease. O (0,00) O (0, 3) 0 (-∞0,00) 0 (-00, 0)
(b) Find the local maximum and minimum values. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.
local maximum values
local minimum values
(c) Find the interval(s) where the function is concave up.
0 (-00,00)
00
Ỏ (0, 0)
O (-00, 0)
O (0, 3)
Find the interval(s) where the function is concave down.
O (-00, 00)
00
(-00, 0)
O (0, 3)
O (0,00)
Find the inflection points. (If an answer does not exist, enter DNE.)
(
(x, y) =
Transcribed Image Text:(b) Find the local maximum and minimum values. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE. local maximum values local minimum values (c) Find the interval(s) where the function is concave up. 0 (-00,00) 00 Ỏ (0, 0) O (-00, 0) O (0, 3) Find the interval(s) where the function is concave down. O (-00, 00) 00 (-00, 0) O (0, 3) O (0,00) Find the inflection points. (If an answer does not exist, enter DNE.) ( (x, y) =
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