Problem 1 Sketch the graph of the function f(x) Let g(x) = f(t)dt. (a) Then g(-8) = and g(10) = . , g(0) = = [0 if x < -4 3 if 4 ≤ x < 3 6-x if 3 < x < 8 -2 if x 28 0. , g(3) = (c) g has a maximum value at x = (b) g is increasing on the interval (A,B) where A = , g(6) = and B= , g(8) = ₁

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...
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Problem 1
Sketch the graph of the function f(x) =
Let g(x) =
f(t)dt.
(a) Then g(-8) =
and g(10) = .
, g(0) =
[0 if x < -4
3 if 4 ≤ x < 3
6-x if 3 < x < 8
-2 if x ≥ 8
0, , g(3) =
(b) g is increasing on the interval (A,B) where A =
(c) g has a maximum value at x =
, g(6) =
and B=
, g(8) =
0.
Transcribed Image Text:Problem 1 Sketch the graph of the function f(x) = Let g(x) = f(t)dt. (a) Then g(-8) = and g(10) = . , g(0) = [0 if x < -4 3 if 4 ≤ x < 3 6-x if 3 < x < 8 -2 if x ≥ 8 0, , g(3) = (b) g is increasing on the interval (A,B) where A = (c) g has a maximum value at x = , g(6) = and B= , g(8) = 0.
Problem 5
Use part I of the Fundamental Theorem of Calculus to find the derivative of
To
f(x) =
f'(x) =
[NOTE: Enter a function as your answer.]
√125+ 2t³dt
Transcribed Image Text:Problem 5 Use part I of the Fundamental Theorem of Calculus to find the derivative of To f(x) = f'(x) = [NOTE: Enter a function as your answer.] √125+ 2t³dt
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