1. The graph of f (x) is given below. Based on this graph determine where the function is discontinuous. -4 -3 /-2 -1

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Chapter9: Functions
Section9.1: Relations And Functions
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36 ll 6
o O-6
0-6-.
·Assignment.
Section 2-9 : Continuity
1. The graph of /(x) is given below. Based on this graph determine where the function is
discontinuous.
2
-6
-5
-4
-3
-2
-1
-1
2. The graph of f (x) is given below. Based on this graph determine where the function is
discantinuous.
-12-10 -8-6 4
-2-1
2.
10
12
4
-2
-3
-5
For problems 3-7 using only Properties 1-9 from the Limit Properties section, one-sided limit
properties (if needed) and the definition of continuity determine if the given function is continuous or
discontinuous at the indicated points.
3. f(x)- 4r +5
9-3x
3. f(x) =
(a) x=-1, (b) x =0, (e) x = 3
4. g(:)--3:-10
(a) z=-2, (b) z=0, (e) z=5
5. 8(x)- 2x r<6
x-1 x26
(а) х4, (b) х 36
<-2
I<-2
6. h(t)=+6 12-2
(а) г-2, (Ы) 10
(1-3x
X<-6
7
X=-6
7. 8(x)={ x
-6 <x<1
[2-x
(a) x=-6, (b) x=1
x>1
For problems 8 - 12 determine where the given function is discontinuous.
x-9
8. f(x)= 3 +2x-8
3x +2x-8
Transcribed Image Text:36 ll 6 o O-6 0-6-. ·Assignment. Section 2-9 : Continuity 1. The graph of /(x) is given below. Based on this graph determine where the function is discontinuous. 2 -6 -5 -4 -3 -2 -1 -1 2. The graph of f (x) is given below. Based on this graph determine where the function is discantinuous. -12-10 -8-6 4 -2-1 2. 10 12 4 -2 -3 -5 For problems 3-7 using only Properties 1-9 from the Limit Properties section, one-sided limit properties (if needed) and the definition of continuity determine if the given function is continuous or discontinuous at the indicated points. 3. f(x)- 4r +5 9-3x 3. f(x) = (a) x=-1, (b) x =0, (e) x = 3 4. g(:)--3:-10 (a) z=-2, (b) z=0, (e) z=5 5. 8(x)- 2x r<6 x-1 x26 (а) х4, (b) х 36 <-2 I<-2 6. h(t)=+6 12-2 (а) г-2, (Ы) 10 (1-3x X<-6 7 X=-6 7. 8(x)={ x -6 <x<1 [2-x (a) x=-6, (b) x=1 x>1 For problems 8 - 12 determine where the given function is discontinuous. x-9 8. f(x)= 3 +2x-8 3x +2x-8
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