INzicht Exam Paper 3TSO 3KSO PDF

 f x f 𝑥 𝑓(𝑥) f(x) g(x) v(t) 𝑙(𝑡) = 1500𝑡 𝑙 𝑡 5 loon = 1500. 5  𝐱...

 f x f 𝑥 𝑓(𝑥) f(x) g(x) v(t) 𝑙(𝑡) = 1500𝑡 𝑙 𝑡 5 loon = 1500. 5  𝐱 f(x) ✓ dom f = ⋯ ber f = ⋯  −2 2 −2 2 [−2; 2] 𝐝𝐨𝐦 𝐟 = [−𝟐; 𝟐] 2 2,8 [2; 2,8] 𝐛𝐞𝐫 𝐟 = [𝟐; 𝟐, 𝟖]  +∞ −∞ +∞ −∞ ∞ ℝ 𝐝𝐨𝐦 𝐟 = ℝ −1 +∞ −1 [−1; +∞[ 𝐛𝐞𝐫 𝐟 = [−𝟏; +∞[  +∞ −∞ +∞ −∞ −∞ +∞ −1 −1. ℝ −1 𝐝𝐨𝐦 𝐟 = ℝ \ {−𝟏} −∞ +∞ 1 1. ℝ 1 𝐛𝐞𝐫 𝐟 = ℝ \ {𝟏} −∞ +∞ −2 0 −2 0. ℝ −2 0 𝐝𝐨𝐦 𝐟 = ℝ \ {−𝟐; 𝟎} −∞ +∞ 0 0 𝐛𝐞𝐫 𝐟 = ℝ −∞ +∞ 𝐝𝐨𝐦 𝐟 = ℝ +∞ 0 ℝ 0 ℝ0 ℝ+ 𝐛𝐞𝐫 𝐟 = ℝ+ 𝟎 −∞ +∞ −2 2 −∞ −2 2 +∞ 𝐝𝐨𝐦 𝐟 =] − ∞; −𝟐] ∪ [𝟐; +∞[ −∞ 0 0 ℝ− 𝐛𝐞𝐫 𝐟 = ℝ− −8 0 𝑥1 = −8 𝑥2 = 0 (𝒙 ; 𝒚) (−8 ; 0) (0 ; 0)  → + → − 𝑥 −∞ −8 0 +∞ 𝑓(𝑥) − 0 + 0 +  , ≥, ≤ 𝟎 → + → − 0 −8 +∞ −8 0 −8 0 𝑥 −∞ −8 0 +∞ 𝑓(𝑥) − 0 + 0 + 𝑓(𝑥) > 0 ] − 8; 0[∪]0; +∞[ ≥0 −8 +∞ 0 −8 0 𝑥 −∞ −8 0 +∞ 𝑓(𝑥) − 0 + 0 + 𝑓(𝑥) ≥ 0 [−8; +∞[  ( ) 𝐦𝐚𝐱𝐢𝐦𝐮𝐦(−𝟓, 𝟓 ; 𝟗, 𝟓) 𝐦𝐢𝐧𝐢𝐦𝐮𝐦(𝟎 ; 𝟎)  𝑥 −∞ −5,5 0 +∞ 𝑓(𝑥) ↗ 9,5 ↘ 0 ↗  −∞ −5,5 0 +∞ −5,5 0 𝑥 −∞ −5,5 0 +∞ 𝑓(𝑥) ↗ 9,5 ↘ 0 ↗ 𝑓(𝑥) ↗ ] − ∞; −5,5[∪]0; +∞[ −5,5 0 −5,5 0 𝑥 −∞ −5,5 0 +∞ 𝑓(𝑥) ↗ 9,5 ↘ 0 ↗ 𝑓(𝑥) ↘ ] − 5,5; 0[  ONEVEN FUNCTIE EVEN FUNCTIE  𝑓(𝑥) | 𝑥 −∞ −2 −1 0 +∞ 𝑓(𝑥) − | + 0 − | + 𝑥 −∞ −2 0 +∞ 𝑓(𝑥) ↘ | ↘ | ↘ ℝ  ℝ ℝ \ {0} ℝ \ {−1, … , … } ℝ+ 𝟎  𝒇(𝒙) = 𝒂𝒙 + 𝒃 𝑎= (+) (−) 𝑏= 𝑓(𝑥) = 2𝑥 + 3 𝑏=3 𝑥 0 1 𝑓(𝑥) 3 5 2 1 𝑎=2  𝒇(𝒙) = 𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄 𝒙𝟐 𝒙 𝟐 𝑓(𝑥) = 𝑥 2 𝑓(𝑥) = −𝑥 2 𝒙𝟐 = dalparabool 𝑓(𝑥) = 𝑥 2  −𝒙𝟐 = bergparabool 𝑓(𝑥) = −𝑥 2 𝒇(𝒙) = +𝒙𝟐 𝒇(𝒙) = −𝒙𝟐  𝒂𝒙𝟐 𝒇(𝒙) = +𝒂𝒙𝟐 𝒇(𝒙) = −𝒂𝒙𝟐 𝑎>0 𝑎𝟏 𝑥−  89 65 10 3,5% 𝑚 𝑡 100% 3,5% 𝑎 = 100% − 3,5% = 96,5% 100 96,5 = 0,965 100 89 𝑚 𝑡 𝑚(𝑡) = 0,965𝑡. 89  𝑚(𝑡) = 0,9658. 89 𝑚(𝑡) = 66,92 𝑉 𝑡 𝑡=0 𝑡 0 1 𝑉(𝑡) 7 3,5  3,5 𝑎= = 0,5 7 𝑁0 = 7 𝑉 𝑡 𝑉(𝑡) = 0,5𝑡. 7 𝑉(𝑡) = 0,51,5. 7 𝑉(𝑡) = 2,48  𝑥̅ 25 4 𝑛 𝑛=4 𝑛 25 𝑛 25 = 6,25 𝑐𝑚 ̅ 𝒙 4 µ 25000 2500 1200 800 1400 700 1800 𝑛 1000 𝑥 1200 + 800 𝑥 1400 + 700 𝑥 1800 = 358000 3580000 = 1432 2500 𝑥̅ 1432  𝜎 𝑛=9 µ=6 7,5 1 𝝈 𝐿1 𝐿2  ̅ 𝒙 70,75 𝝈𝒙 14,31 𝐿1 𝐿2 40+49 50+59 = 44,5 = 2 2 54,5 𝐿1 𝐿2 ̅ 𝒙 72 𝝈𝒙 15,45  𝑄1 𝑄3 = 156 = 200 = 173 𝑸𝟏 = 167 𝑸𝟑 = 180  𝑄1 𝑄3 25 ✓ 𝑸𝟏 25 ✓ 𝑸𝟏 25 ✓ 𝑸𝟑 25 ✓ 𝑸𝟑 25 ✓ 𝑸𝟏 𝑸𝟑 ✓ ✓ ✓ ✓ 180 − 185  26,6% + 19,2% = 45,8% 25,6% 25,6% 150 000 150 000. 0,256 = 38 400 100 % 100% = 8,33% 12 8.8,33% = 25% 33,33% 33,33% 900 900. 0,3333 = 300    𝑵(, )  =𝟒 =𝟏 =𝟑 =𝟐 = =  𝑵(𝟓𝟎; 𝟕, 𝟓) 95%  − 𝟐  + 𝟐  − 𝟐 𝐞𝐧  + 𝟐. = [𝟓𝟎 − 𝟐. 𝟕, 𝟓; 𝟓𝟎 + 𝟐. 𝟕, 𝟓] = [𝟑𝟓; 𝟔𝟓]  0 100000 µ 𝝈 % 𝑥 100 𝑥  …% 100 µ 𝝈