Consider the following. y = -x³ + 4, -x² + 4x, X ≤0 X>0 Find the critical numbers. (Hint: Check for discontinuities.) (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = 2 X

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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Part A is the only part that is still wrong that I can't figure out. I have tried these answer combinations--all of which were marked as incorrect.

- 0

- 0, 2

- 2

-Does Not Exist

If none of these are the answers, what is?

Consider the following.
y =
increasing
-x³ + 4,
-x² + 4x₁
Find the critical numbers. (Hint: Check for discontinuities.) (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
x = 2
decreasing
X ≤0
X>0
X
Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
(0,2)
(-∞0,0) U (2,00)
Sketch the graph of the function to verify your results.
Transcribed Image Text:Consider the following. y = increasing -x³ + 4, -x² + 4x₁ Find the critical numbers. (Hint: Check for discontinuities.) (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = 2 decreasing X ≤0 X>0 X Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) (0,2) (-∞0,0) U (2,00) Sketch the graph of the function to verify your results.
Sketch the graph of the function to verify your results.
y
I
- 3 -2 -1
8
7
6
5
4¢
3
2
-1
-24
1
I
2
3
6
5
+
3
21
- 6 -5 +4 - 3 -2 -1
-1
-2
-3
4 5 6
1
2
3
X
X
- 6
-3
-5
-2
4 - 3
-1
5
3
2
1
-1
-2
-3
-2 -1
1
1
2
y
8
가
6
5
44
3
2
1
-1
-2²
3
ㅗ
1
4
2
5
3
6
X
X
Transcribed Image Text:Sketch the graph of the function to verify your results. y I - 3 -2 -1 8 7 6 5 4¢ 3 2 -1 -24 1 I 2 3 6 5 + 3 21 - 6 -5 +4 - 3 -2 -1 -1 -2 -3 4 5 6 1 2 3 X X - 6 -3 -5 -2 4 - 3 -1 5 3 2 1 -1 -2 -3 -2 -1 1 1 2 y 8 가 6 5 44 3 2 1 -1 -2² 3 ㅗ 1 4 2 5 3 6 X X
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