–3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

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Page 1: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x
Page 2: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

x=2x 2

Page 3: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

x-2<0

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

x=2 x<2

Page 4: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

y>-2

y=-2

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

Page 5: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

y-2 x

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

y x+2

y=x+2

Page 6: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x
Page 7: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

x>-3

x 2

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

x=2x=-3

Page 8: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

x>-3

x 2

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

Page 9: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

-3 x 2

Também se pode escrever:

Page 10: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

y 0

y+3 0

3

2

1

-1

-2

-3

y

x –3 –2 –1 0 1 2

3

y=0

y=-3

y 0

y -3

Page 11: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

3

2

1

-1

-2

-3

y

x –3 –2 –1 0 1 2

3

y 0

y+3 0

y 0

y -3

Page 12: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

3

2

1

-1

-2

-3

y

x –3 –2 –1 0 1 2

3

-3<y 0

Também se pode escrever:

Page 13: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

y=0

x=2x=-1

x -1

x 2

y 0

y -3 –3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

y=-3

Page 14: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

x -1

x 2

y 0

y -3 –3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

Page 15: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

x -1

x 2

y 0

y -3 –3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

Page 16: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

-1 x 2

-3 y 0

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

Também se pode escrever:

Page 17: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

y -1

y x+2

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

y=x+2

y=-1

Page 18: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

y -1

y x+2

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

Page 19: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

y -1

y x+2

–3 –2 –1 0 1 2

3

3

2

1

-1

-2

-3

y

x

Page 20: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

–1 0 1 2 3 4 5

5

4

3

2

1

-1

y

xy=0

x 0 y 5-x

x

y - +42

x 0

y 0

y 5-x

xy - +4

2

Page 21: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

–1 0 1 2 3 4 5

5

4

3

2

1

-1

y

x

x 0

y 0

y 5-x

xy - +4

2

Page 22: –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x –3 –2 –1 0 1 2 3 3 2 1 -2 -3 y x

–1 0 1 2 3 4 5

5

4

3

2

1

-1

y

x

Vértices da região admissível:

A

B

C

O 0,0

A 0,4

B 2,3

C 5,0