Consider the following. (If an answer does not exist, enter DNE.) MX) = * - 1 4x2 + 3 (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 points. smaller x-value (x, y) : larger x-value (x, y) = Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following. (If an answer does not exist, enter DNE.)
F(x) = * - 4x² + 3
(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 points.
smaller x-value
(х, у) -
larger x-value
(х, у) -
Find the interval(s) where the function is concave up. (Enter your answer using interval notation.)
Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)
Transcribed Image Text:Consider the following. (If an answer does not exist, enter DNE.) F(x) = * - 4x² + 3 (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 points. smaller x-value (х, у) - larger x-value (х, у) - Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) 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 computer.
WMM
y
y
y
6.
10
2
4
8
-3
-2
1
6.
3
4
-3
-2
3
-4
-2
-6
-4
-2
-1
1
-81
-2
y
X
-2
-1
1
-2
-6
-8
- 10
Transcribed Image Text:(d) Use the information from parts (a)-(c) to sketch the graph. Check your work with a graphing calculator of computer. WMM y y y 6. 10 2 4 8 -3 -2 1 6. 3 4 -3 -2 3 -4 -2 -6 -4 -2 -1 1 -81 -2 y X -2 -1 1 -2 -6 -8 - 10
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