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\(a,f\left(1\right)=3\cdot1^2+1+1=5\\ f\left(-\dfrac{1}{3}\right)=3\cdot\left(-\dfrac{1}{3}\right)^2-\dfrac{1}{3}+1=\dfrac{1}{3}-\dfrac{1}{3}+1=1\\ f\left(\dfrac{2}{3}\right)=3\cdot\left(\dfrac{2}{3}\right)^2-\dfrac{2}{3}+1=\dfrac{4}{3}-\dfrac{2}{3}+1=\dfrac{5}{3}\\ f\left(-2\right)=3\cdot\left(-2\right)^2-2+1=11\\ f\left(-\dfrac{4}{3}\right)=3\cdot\left(-\dfrac{4}{3}\right)^2-\dfrac{4}{3}+1=\dfrac{16}{3}-\dfrac{4}{3}+1=5\)
\(b,f\left(\dfrac{2}{3}\right)=\left|2\cdot\dfrac{2}{3}-9\right|-3=\dfrac{23}{3}-3=\dfrac{14}{3}\\ f\left(-\dfrac{5}{4}\right)=\left|2\cdot\left(-\dfrac{5}{4}\right)-9\right|-3=\dfrac{23}{2}-3=\dfrac{17}{2}\\ f\left(-5\right)=\left|2\left(-5\right)-9\right|-3=19-3=16\\ f\left(4\right)=\left|2\cdot4-9\right|-3=1-3=-2\\ f\left(-\dfrac{3}{8}\right)=\left|2\cdot\left(-\dfrac{3}{8}\right)-9\right|-3=\dfrac{39}{4}-3=\dfrac{27}{4}\)
\(c,x=0\Rightarrow y=2\cdot0^2-7=-7\\ x=-3\Rightarrow y=2\cdot\left(-3\right)^2-7=11\\ x=-\dfrac{1}{2}\Rightarrow y=2\cdot\left(-\dfrac{1}{2}\right)^2-7=\dfrac{-13}{2}\\ x=\dfrac{2}{3}\Rightarrow y=2\cdot\left(\dfrac{2}{3}\right)^2-7=-\dfrac{55}{9}\)
1.
y=f(-1)=3*(-1)-2=-5
y=f(0)=3*0-2=-2
y=f(-2)=3*(-2)-2=-8
y=f(3)=3*3-2=7
Câu 2,3a làm tương tự,chỉ việc thay f(x) thôi.
3b
Khi y=5 =>5=5-2*x=>2*x=0=> x=0
Khi y=3=>3=5-2*x=>2*x=2=>x=1
Khi y=-1=>-1=5-2*x=>2*x=6=>x=3
f(-1)=3.1-2=3-2=1
f(0)=3.0-2=0-2=-2
f(-2)=3.(-2)-2=-6-2=-8
f(3)=3.3-2=9-2=7
a) với hàm số y = f ( x ) = 3x thì :
f ( -1 ) = -3
f( 0 ) = 0
f ( 1/2 ) = 3/2
f(1) = 3
b) cho x = 1 \(\Rightarrow\)y = 3 \(\Rightarrow\)A ( 1 ; 3 )
Đồ thị hàm số y = 3x là đường thẳng đi qua góc tọa độ O ( 0 ; 0 ) và A ( 1 ; 3 )
a) với hàm số y = f ( x ) = 3x thì :
f ( -1 ) = -3
f( 0 ) = 0
f ( 1/2 ) = 3/2
f(1) = 3
a: f(0)=1
\(f\left(-\dfrac{1}{3}\right)=1-3\cdot\left(-\dfrac{1}{3}\right)^2=1-3\cdot\dfrac{1}{9}=1-\dfrac{1}{3}=\dfrac{2}{3}\)
a: f(0)=1
\(f\left(-\dfrac{1}{3}\right)=1-3\cdot\left(-\dfrac{1}{3}\right)^2=1-3\cdot\dfrac{1}{9}=1-\dfrac{1}{3}=\dfrac{2}{3}\)
a, \(f\left(0\right)=3.0-5=-5\)
\(f\left(\frac{1}{2}\right)=3.\frac{1}{2}-5=-\frac{7}{2}\)
\(f\left(-1\right)=3.\left(-1\right)-5=-8\)
b, Khi \(f\left(x\right)=0\Leftrightarrow3x-5=0\)
\(\Leftrightarrow3x=5\)
\(\Leftrightarrow x=\frac{5}{3}\)
\(Khi\)\(f\left(x\right)=5\Leftrightarrow3x-5=5\)
\(\Leftrightarrow3x=10\)
\(\Leftrightarrow x=\frac{10}{3}\)
Chúc bn học tốt
a) f(x) = 3x - 5
=> f(0) = 3 . 0 - 5 = -5
f(1/2) = 3 . 1/2 - 5 = 3/2 - 5 = -7/2
f(-1) = 3 . (-1) - 5 = -3 - 5 = -8
b) f(x) = 0 => 3x - 5 = 0 => 3x = 5 => x = 5/3
f(x) = 5 => 3x - 5 = 5 => 3x = 10 => x = 10/3
Vậy .....................
Bài 1 : làm tương tự với bài 2;3 nhé
Ta có : \(f\left(0\right)=c=2010;f\left(1\right)=a+b+c=2011\)
\(\Rightarrow f\left(1\right)=a+b=1\)
\(f\left(-1\right)=a-b+c=2012\Rightarrow f\left(-1\right)=a-b=2\)
\(\Rightarrow a+b=1;a-b=2\Rightarrow2a=3\Leftrightarrow a=\dfrac{3}{2};b=\dfrac{3}{2}-2=-\dfrac{1}{2}\)
Vậy \(f\left(-2\right)=4a-2b+c=\dfrac{4.3}{2}-2\left(-\dfrac{1}{2}\right)+2010=6+1+2010=2017\)
f(2) = 5
f(-1) = - 4
f(0) = - 1
f(2) = 3.2-1 = 6-1 = 5
f(-1) = 3.(-1)-1= -3-1 = -4
f(0) = 3.0-1 = 0-1 = -1