
5.2 Mean Value Theorem
Presentation
•
Mathematics
•
12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Ghufran AL-Helouani
Used 14+ times
FREE Resource
9 Slides • 6 Questions
1
Theorem
2
.
3
4
Multiple Choice
a. Is the function satisfies the Mean Value Theorem(MVT)?
b. Find each value of c satisfy the MVT equation.
y=x2+2x-1 on [0,1]
a. yes
b. c= 1/2
a. yes
b. c=1
5
Multiple Choice
a. Is the function satisfies the Mean Value Theorem(MVT)?
b. Find each value of c satisfy the MVT equation.
y=x1/3on [-1,1]
a. yes
b. c=3/2
a. No
b. none
6
Multiple Choice
a. Is the function satisfies the Mean Value Theorem(MVT)?
b. If no why?
f(x)=x2+1 on [-1,1]
a.No
b. discont. at x=0.5
a. No
b. not diff. at x=0. (corner)
7
Multiple Choice
a. Is the function satisfies the Mean Value Theorem(MVT)?
b. If no why?
f(x)=∣x−1∣ on [0,4]
a.No
b. not diff. at x=1 (corner)
a. No
b. not diff. at x=1.5. (cusp)
8
9
10
11
12
Increasing and Decreasing Functions
13
Multiple Choice
where is the functions y=x2 increasing and where is it decreasing?
(−∞,0) decrease
(0,∞) increase
(−∞,∞) increase
14
Multiple Select
where is the functions y=x3−4x increasing and where is it decreasing?
(−∞,0) decrease
(−∞,−3 4] and [34,∞] increase
[−34,34] decrease
15
Theorem
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