ECAT Pre Engineering MCQ Test With Answer for Chapter 17 Mathematics

• x = f(y) A
• y = f(x) B
• x = f(x) C
• y = f(y) D

if f(x) = x³ -3x² +5x -1, then f(-√2)=

• 7+7√2 A
• 3+3√2 B
• -7-7√2 C
• -3-3√2 D

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

• domain A
• range B
• function C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D

• 2 A
• 6 B
• 
  C
• 
  D

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct D

The domain of y =√(x^2-9) is

• R A
• (0 , +∞) B
• (-∞ , -3 )∪ (3 , +∞) C
• (0 ,∞) D

• 
  A
• 
  B
• 
  C
• 
  D

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 
  A
• 
  B
• 
  C
• 
  D

The range of function f(x)=-x2+2x-1 is

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• -2 C
• 3 D

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] D

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) D

A function from X to Y is written as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• none of these D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

f(x) = log x + 3 is a

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

f(x) = x3-x/x2+1 is :

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D