Use interval testing (number line analysis) to find the intervals where the function x x³ 12 6 f(x) = - 3x² + 100 is concave upward or concave downward. Step 1: What are the intervals on the number line that need to be tested? Fill in the blanks (-∞, JU( JU( ,00) Step 2: After doing the interval testing is the function concave up or down on the first interval? (type up or down) Step 3: After doing the interval testing is the function concave up or down on the middle interval? (type up or down) Step 4: After doing the interval testing is the function concave up or down on the last interval?
Use interval testing (number line analysis) to find the intervals where the function x x³ 12 6 f(x) = - 3x² + 100 is concave upward or concave downward. Step 1: What are the intervals on the number line that need to be tested? Fill in the blanks (-∞, JU( JU( ,00) Step 2: After doing the interval testing is the function concave up or down on the first interval? (type up or down) Step 3: After doing the interval testing is the function concave up or down on the middle interval? (type up or down) Step 4: After doing the interval testing is the function concave up or down on the last interval?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use interval testing (number line analysis) to find the intervals where the function
x¹
2.3
3x² + 100 is concave upward or concave downward.
12
6
Step 1: What are the intervals on the number line that need to be tested? Fill in the blanks (-∞,
JU(
JU(
,00)
Step 2: After doing the interval testing is the function concave up or down on the first interval?
(type up or down)
Step 3: After doing the interval testing is the function concave up or down on the middle interval?
(type up or down)
Step 4: After doing the interval testing is the function concave up or down on the last interval?
0
i
P
1
O
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