In each of Problems 1 through 4 , sketch the graph of the given function. In each case, determine whether f is continuous, piecewise continuous, or neither on the interval 0 ≤ t ≤ 3 . f ( t ) = { sin ( π t ) , 0 ≤ t ≤ 1 ( t − 1 ) − 1 , 1 < t ≤ 2 1 , 2 < t ≤ 3
In each of Problems 1 through 4 , sketch the graph of the given function. In each case, determine whether f is continuous, piecewise continuous, or neither on the interval 0 ≤ t ≤ 3 . f ( t ) = { sin ( π t ) , 0 ≤ t ≤ 1 ( t − 1 ) − 1 , 1 < t ≤ 2 1 , 2 < t ≤ 3
In each of Problems
1
through
4
, sketch the graph of the given function. In each case, determine whether
f
is continuous, piecewise continuous, or neither on the interval
0
≤
t
≤
3
.
f
(
t
)
=
{
sin
(
π
t
)
,
0
≤
t
≤
1
(
t
−
1
)
−
1
,
1
<
t
≤
2
1
,
2
<
t
≤
3
The graph of the function f in the figure below consists of line segments and a quarter of a circle. Let g be the function given by
x
g(x) = __ f (t)dt. Determine all values of a, if any, where g has a point of inflection on the open interval (-9, 9).
8
y
7
76
LO
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2 3
♡.
-1
-2
3
-4
56
-5
-6
-7
-8
Graph of f
4 5
16
7
8
9 10
pls help
The areas of the regions bounded by the graph of the function f and the x-axis are labeled in the figure below. Let the function g be
C
defined by the equation g(x) = [* f(t)dt. What is the maximum value of the function g on the closed interval [-7, 8]?
17
y
Graph of f
00
8
76
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3-2-1
-2
702
4
1
21
3 4
568
-4
-5
--6
-7
-8
x
5
6
7
8
9 10
17
Elementary Statistics: Picturing the World (7th Edition)
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