Câu 1 The function mm is defined on the real numbers by m(k) = \dfrac{k+2}{k+8}m(k)= k+8 k+2 ​ . What is the value of 10\times m(2)10×m(2)? Answer: Câu 2 The function ff is defined on the real numbers by f(x)= ax-3f(x)=ax−3. What is the value of a if f(3)=9f(3)=9? Answer: Câu 3 The function ff is defined on the real numbers by f(x)= 2x+a-3f(x)=2x+a−3. What is the value of a if f(-5)=11f(−5)=11? Answer: Câu 4 The function ff is defined on the real numbers by f(x) = 2 + x-x^2f(x)=2+x−x 2 . What is the value of f(-3)f(−3)? Answer: Câu 5 Given a real number aa and a function ff is defined on the real numbers by f(x)=-6\times|3x|-4f(x)=−6×∣3x∣−4. Compare: f(a)f(a) f(-a)f(−a) Câu 6 There are ordered pairs (x;y)(x;y) where xx and yy are integers such that \dfrac{5}{x}+\dfrac{y}{4}=\dfrac{1}{8} x 5 ​ + 4 y ​ = 8 1 ​ Câu 7 Given a negative number kk and a function ff is defined on the real numbers by f(x)=\dfrac{6}{13}xf(x)= 13 6 ​ x. Compare: f(k)f(k) f(-k)f(−k) Câu 8 Given a positive number kk and a function ff is defined on the real numbers by f(x)=\dfrac{-3}{4}x+4f(x)= 4 −3 ​ x+4. Compare: f(k)f(k) f(-k)f(−k). Câu 9 A=(1+2+3+\ldots+90) \times(12 \times34-6 \times 68):(\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{1}{6})=A=(1+2+3+…+90)×(12×34−6×68):( 3 1 ​ + 4 1 ​ + 5 1 ​ + 6 1 ​ )= Câu 10 Given that \dfrac{2x+y+z+t}{x}=\dfrac{x+2y+z+t}{y}=\dfrac{x+y+2z+t}{z}=\dfrac{x+y+z+2t}{t} x 2x+y+z+t ​ = y x+2y+z+t ​ = z x+y+2z+t ​ = t x+y+z+2t ​ . The negative value of \dfrac{x+y}{z+t}+\dfrac{y+z}{t+x}+\dfrac{z+t}{x+y}+\dfrac{t+x}{y+z} z+t x+y ​ + t+x y+z ​ + x+y z+t ​ + y+z t+x ​ is

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  The function g is defined on the real numbers by g(x) = 2x + x(x+3)g(x)=2x+x(x+3).  What is the value of g(2)g(2)?
   Answer:

   

   

• Câu 2

   

  The function p is defined on the real numbers by p(q) =\dfrac{q^2-q}{(q+1)q}p(q)=(q+1)qq2−q​. What is the value of 10\times p(-11)10×p(−11)?
  Answer:

   

   

• Câu 3

   

  The function p is defined on the real numbers by p(q) = 3-\left| {3q-7} \right|p(q)=3−∣3q−7∣. What is the value of p(-2)p(−2)?
   Answer:

   

   

• Câu 4

   

  The function f is defined on the real numbers by f(x)= 2x+a-3f(x)=2x+a−3. What is the value of a if f(-3)=6f(−3)=6?
  Answer:

   

   

• Câu 5

   

  Given a negative number k and a function ff is defined on the real numbers by f(x)=\dfrac{6}{13}xf(x)=136​x.
  Compare: f(k)f(-k)

   

  f(-k)f(−k)

   

The function  is defined on the real numbers by . What is the value of ?
 Answer: 

Câu 2:
The function  is defined on the real numbers by . What is the value of a if ?
 Answer: 

Câu 3:
The function  is defined on the real numbers by . What is the value of ?
 Answer: 

Câu 4:
The function  is defined on the real numbers by . What is the value of ?
Answer:

Câu 5:
Given triangle ABC, m∠B=60°. Two bisectors AP and CQ intersect at I.The measure of angle AIC is  

Câu 6:

Câu 7:

Câu 8:
Given a negative number  and a function  is defined on thereal numbers by .
Compare:   

Câu 9:
Given a positive number  and a function  is defined on thereal numbers by .
Compare:   .

Câu 10:
Given a real number  and a function  is defined on the realnumbers by .
Compare:   

Cho các hàm số 

f₁(x)=x, 

f₂(x)=-2x,

 f₃(x)=1, 

f₄(x)=5,

 f₅(x)=\(\frac{1}{x}\), 

f₆(x)=x².

Trong các hàm số trên hàm số nào có tính chất

a)f(-x)=f(x)

b)f(-x)=-f(x)

c)f(x₁+x₂)=f(x₁)+f(x₂)

d)f(x₁.x₂)=f(x₁).f(x₂)