Functions (2)

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f : A B, f(x) = y; A, B
Find the range of f, the set: {y B : f(x) = y}

1. f : {-2,-1,0,1,2} , f(x)=
2x-1 if x0
x + 1 if x>0

2. f : {-2,-1,0,1,2} , f(x)=
x2 + 1   if x {-1,0,1}
x   if x {-2,2}
3. f : {-4,-3,-2,-1,0} , f(x)=
x + 3 if x-2
x if x>-2
4. f : {-3,-1,0,1,3} , f(x)=
x2 +1
  2
if x-1
x + 2if x>-1

5. f : {-4,-2,0,1,2} , f(x)=
x
2
+   if x0
1 - x  if x>0

6. f : {1,2,...,10} , f(x)=
1 - x   if x5
x + 1   if x>5

7. f : {1,2,...,10} , f(x)=
x2     if x<5
x - 1 if x5

8. f : {0,1,2,...,10} , f(x)=
- x      if x0
x - 10 if x>0

9. f : {0,1,2,...,10} , f(x)=
x3 - 1 if x3
x         if 3<x<5
1         if x5

10. f : {0,1,2,...,10} , f(x)=
2        if x<5
x-1     if 5<x<9
x2-99 if x=10
11. f : {0,1,2,...,100} , f(x)=
-x         if x50
x - 100 if x>50

12. f : {1,2,...,100} , f(x)=
x2 + 1 if x7
3         if x>7

13. f : {1,2,...,100} , f(x)=
1 - x if x10
1       if x>0

14. f : {1,2,...,100} , f(x)=
5        if x95
x-100 if x>95


 

 


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