average rate of change. Otherwise, explain why it cannot be applica.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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Question
Determine whether MVT can be applied to the function on [-3, 3]. If it can be applied, find the average rate of change. Otherwise, explain why it cannot be applied. Answer number 1 only!!! (Show work and step-by-step process in finding the correct answers.)
MVT and Rolle's Theorem Worksheet
average rate of change. Otherwise, explain why it cannot be applied.
1.
2.
3.
Determine whether Rolle's Theorem can be applied to f (x) on the closed interval [a,D1-
Rolle's Theorem can be applied, find all values of c on the open interval (a, b) that sátisi)
Rolle's Theorem. Otherwise, explain why Rolle's Theorem does not apply.
4. f(x) = x² – 3x, [0,3]
6. f(x) = 3 – |x 3|, [0,6]
5. f (x) = x? – 5x + 4, [1,4]
7. f (x) :
= sin x + cos x, [0,t]
Determine whether MVT can be applied to f (x) on the closed interval [a, b]. If MVT can be
applied, find all values of c on the open interval (a, b) that satisfy MVT. Otherwise, explain
why MVT does not apply.
8. f(x) = x², [-2,1]
9. f (x) = |2x + 1], [-1,3]
11. f(x) = **, [1, 4]
x+1
10. f(x) = **, [-1,2]
x+1
Transcribed Image Text:MVT and Rolle's Theorem Worksheet average rate of change. Otherwise, explain why it cannot be applied. 1. 2. 3. Determine whether Rolle's Theorem can be applied to f (x) on the closed interval [a,D1- Rolle's Theorem can be applied, find all values of c on the open interval (a, b) that sátisi) Rolle's Theorem. Otherwise, explain why Rolle's Theorem does not apply. 4. f(x) = x² – 3x, [0,3] 6. f(x) = 3 – |x 3|, [0,6] 5. f (x) = x? – 5x + 4, [1,4] 7. f (x) : = sin x + cos x, [0,t] Determine whether MVT can be applied to f (x) on the closed interval [a, b]. If MVT can be applied, find all values of c on the open interval (a, b) that satisfy MVT. Otherwise, explain why MVT does not apply. 8. f(x) = x², [-2,1] 9. f (x) = |2x + 1], [-1,3] 11. f(x) = **, [1, 4] x+1 10. f(x) = **, [-1,2] x+1
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