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a) f(5) = 5(5) + 450 - 4(5) = 25 + 450 - 20 = 475 - 20 = 455
b) f(7) = 5(7) + 450 - 4(7) = 35 + 450 - 28 = 485 - 28 = 457
c) f(4) = 5(4) + 450 - 4(4) = 20 + 450 - 16 = 470 - 16 = 454
d) f(50) = 5(50) + 450 - 4(50) = 250 + 450 - 200 = 700 - 200 = 500
e) f(3) = 5(3) + 450 - 4(3) = 15 + 450 - 12 = 465 - 12 = 453
a) Ta co: y = f(x) = 2x-3.2
Khi x=1 thi: f(x) = 2x - 3.2 = 2.1-3.2 = 2-6 = -4
Khi x=10 thi: f(x) = 2x-3.2 = 2.10-3.2 = 20-6 = 14
b) Tu y = 2x - 3.2 => x = (y+6):2
Khi y = 4 thi x=5
Khi y=14 thi x=10
c) Ta co: f(x) = 2x-3.2 = 2x-6
- Xet A thay A co: y = 2x - 6 = 0 ( 0 = 0) => A thuoc do thi
- Xet B thay B co: y = 2x-6 = -5 ( -5 = -5) => A thuoc do thi
- Xet C thay C co: y=2x-6 = 4 ( 4 \(\ne\) 2 ) => C khong thuoc do thi
- Xét D thấy D có: y=2x-6 = -4 ( -4 khác -1 ) => D không thuộc đô thị
- Xet E, E co: y =2x-6 = -6 ( -6 = -6 ) => S thuoc do thi
- Xet F, F co: y = 2x-6 = 18 ( 18 khac 8) => F khong thuoc do thi
Vay: nhung diem khong thuoc do thi f(x) gom: C ; D ; F
\(a,f\left(1\right)=3\cdot1^2+1+1=5\\ f\left(-\dfrac{1}{3}\right)=3\cdot\left(-\dfrac{1}{3}\right)^2-\dfrac{1}{3}+1=\dfrac{1}{3}-\dfrac{1}{3}+1=1\\ f\left(\dfrac{2}{3}\right)=3\cdot\left(\dfrac{2}{3}\right)^2-\dfrac{2}{3}+1=\dfrac{4}{3}-\dfrac{2}{3}+1=\dfrac{5}{3}\\ f\left(-2\right)=3\cdot\left(-2\right)^2-2+1=11\\ f\left(-\dfrac{4}{3}\right)=3\cdot\left(-\dfrac{4}{3}\right)^2-\dfrac{4}{3}+1=\dfrac{16}{3}-\dfrac{4}{3}+1=5\)
\(b,f\left(\dfrac{2}{3}\right)=\left|2\cdot\dfrac{2}{3}-9\right|-3=\dfrac{23}{3}-3=\dfrac{14}{3}\\ f\left(-\dfrac{5}{4}\right)=\left|2\cdot\left(-\dfrac{5}{4}\right)-9\right|-3=\dfrac{23}{2}-3=\dfrac{17}{2}\\ f\left(-5\right)=\left|2\left(-5\right)-9\right|-3=19-3=16\\ f\left(4\right)=\left|2\cdot4-9\right|-3=1-3=-2\\ f\left(-\dfrac{3}{8}\right)=\left|2\cdot\left(-\dfrac{3}{8}\right)-9\right|-3=\dfrac{39}{4}-3=\dfrac{27}{4}\)
\(c,x=0\Rightarrow y=2\cdot0^2-7=-7\\ x=-3\Rightarrow y=2\cdot\left(-3\right)^2-7=11\\ x=-\dfrac{1}{2}\Rightarrow y=2\cdot\left(-\dfrac{1}{2}\right)^2-7=\dfrac{-13}{2}\\ x=\dfrac{2}{3}\Rightarrow y=2\cdot\left(\dfrac{2}{3}\right)^2-7=-\dfrac{55}{9}\)