Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = Vx, [0, 4] C = Graph the function, the secant line through the endpoints, and the tangent line at (c, f(c)). y y 4 3.0- 2.5 2.0 2 1.5 1.0 0.5 X X 3.0 1 3 0.5 1.0 1.5 2.0 2.5 y y 4 3.0 2.5 2.0 2 1.5 1.0 0.5 X 1 0.5 1.0 1.5 2.0 2.5 3.0 Are the secant line and the tangent line parallel? O Yes No

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x) = Vx, [0, 4]
C =
Graph the function, the secant line through the endpoints, and the tangent line at (c, f(c)).
y
y
4
3.0|
2.5
3
2.0
2
1.5
1.0
1
0.5
X
X
1
3
4
0.5
1.0
1.5
2.0
2.5
3.0
y
y
3.0
2.5
3
2.0
1.5
1.0
0.5
2
3
0.5
1.0
1.5
2.0
2.5
3.0
Are the secant line and the tangent line parallel?
Yes
No
2.
21
Transcribed Image Text:Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = Vx, [0, 4] C = Graph the function, the secant line through the endpoints, and the tangent line at (c, f(c)). y y 4 3.0| 2.5 3 2.0 2 1.5 1.0 1 0.5 X X 1 3 4 0.5 1.0 1.5 2.0 2.5 3.0 y y 3.0 2.5 3 2.0 1.5 1.0 0.5 2 3 0.5 1.0 1.5 2.0 2.5 3.0 Are the secant line and the tangent line parallel? Yes No 2. 21
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