2-3 Moduli
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Transcript of 2-3 Moduli
Lezioni 2-3
Disequazioni con MODULI.IN AULA.A) Esplicitare le seguenti funzioni:
1. f x=∣3x−2∣−∣x2−2∣
2. f x=∣3x−22∣∣x2−2∣
2
B) Rappresentare graficamente:
1. y=∣x−1∣−∣x2−x∣
C) Elementari.
1. ∣x∣≥3 S={x≤−3∨x≥3 }
2. ∣x∣≥−3 S=ℝ
3. ∣x∣3 S={−3x3 }
4. ∣x∣−3 S=∅
5. ∣x∣−x21 S=ℝ
6. −∣x∣≥ x2x1 S=∅
7. ∣x−1∣≥3 S={x≤−2∨x≥4}
8. ∣x2∣≥−3 S=ℝ
9. ∣x2∣0 S={x≠0}
10. ∣x21∣≥3 S={x≤−2∨ x≥2}
11. ∣x2 x1∣≤−3 S=∅
Altre.
12. ∣5x1∣∣4x−7∣0 S=ℝ
13. ∣x2 x−2∣∣x2−1∣0 S={x≠1}
14.x10∣x5∣
0 S={x−10∧x≠−5}
15.∣x−2∣x
x∣x−2∣
S={x0∨ x1∧x≠2}
PROPOSTE lezioni 2-3.A) esplicitare le seguenti funzioni:
1. f x=∣3x−2∣−∣x2−2∣
2. f x=∣3x−22∣∣x2−2∣
2
3. f x=2−∣x−2∣∣x3∣
4. f x=∣3x−1∣2−∣x−22∣
5. f x=∣3x−2x2−2∣−∣x21∣
6. f x=2−∣2x−1x22∣−∣x21∣
7. f x=−∣−3x−22∣∣x2−2∣
−∣x−1∣
8. f x=−∣−3 x21∣
∣x22∣−∣x−1∣
9. f x=−∣−3 x2−1∣
∣x2−2∣−∣x1∣
B) rappresentare graficamente:
1. y=∣∣∣x−1∣−1∣−1∣
2. y=∣x∣−∣2 x2−x2∣
C) risolvere le seguenti disequazioni:
1. ∣x∣≥−2 S=ℝ
2. ∣x3∣−2 S=∅
3. ∣x21∣≥0 S=ℝ
4. ∣x−22∣≥3 S={x≤2−3∨x≥23}
5. ∣2−x∣=−1 S=∅
6. ∣x2−4x8∣≤0 S=∅
7. ∣x2−6x−1∣20 S=ℝ
8. ∣x48x2−9∣0 S={x≠−1∧x≠1}
9. ∣x2−9∣∣x−3∣0 S={x≠3}
10. ∣x∣−∣x2 x1∣0 S=ℝ
11. ∣x∣−∣2 x2− x2∣0 S=∅
12.∣x−2∣x
x−4∣x−2∣1 S={x0}