54.
Differentiability and Continuity on an Interval
Each figure in Exercises 43–48 shows the graph of a function over a
closed interval D. At what domain points does the function appear to be
a. differentiable?
b. continuous but not differentiable?
c. neither continuous nor differentiable?
55
5
Give reasons for your answers.
44.
y
43.
y = f(x)
y
D: -3 = x < 2
2t
y = f(x)
D: -2 < x < 3
2.
1
1H
-3
X
X
-3 -2 -1
0 1
2
-2 -1
-
1
2
3
10
-1
-1
- 27
-27
45.
(46.
y
y
y = f(x)
D: -3 < x < 3
y = f(x)
D: -2<x<3
3
RE
w
1
-3-2-10
-1
X
-2日
2
1
2
2
-2 -1 01
1
3
