
Understanding Average Value of a Function

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Lucas Foster
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function given in the problem for which we need to find the average value?
f(x) = x^2 - 4x - 5
f(x) = x^2 - 4x + 5
f(x) = x^2 + 4x + 5
f(x) = x^2 + 4x - 5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the closed interval on which the average value of the function is to be determined?
[0, 3]
[2, 5]
[1, 4]
[3, 6]
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to calculate the average value of a function over an interval?
Y_a = 1 / (B - A) * ∫[A to B] f(x) dx
Y_a = (B + A) / 2 * ∫[A to B] f(x) dx
Y_a = ∫[A to B] f(x) dx
Y_a = (B - A) * ∫[A to B] f(x) dx
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'a' in the given example?
0
1
2
3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of 'b' in the given example?
6
5
4
3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the definite integral of the function from 1 to 4?
14
16
10
12
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the average value of the function on the interval [1, 4]?
2
3
1
4
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