ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 17

• quadratic function A
• constant function B
• trigonometric function C
• linear function D

f(x) = ax + b will be a constant function if

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  D

xy= 2 is:

• a constant function A
• an identity function B
• an improper function C
• implicit function 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

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

The domain of y = cos-1 x is

• -∞ < x < ∞ A
• -1≤ x≤ 1 B
• x≤ -1 or x ≥ 1 C
• None of these D

The domain and range of a trigonometric function can be allocate by their

• graph A
• Continuity B
• Discontinuity C
• Periods D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

• 
  A
• 
  B
• 
  C
• 
  D

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

• 3a2 A
• 2a2 B
• 2a C
• -7a D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x + 1 then f(z²-1) is

• z² A
• z²+ 2 B
• z²- 2 C
• none of these D

f(x) = 1 is

• identity function A
• constant function B
• linear function C
• quadratic function D

• image A
• pre-image B
• constant C
• none of these D

If f (x) = 2x+1 then fof (x) = _______;

• 4x+3 A
• 2x +3 B
• 4x +1 C
• None of these D

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A D

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X C
• none of these D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these D

• 0 A
• 1 B
• 2 C
• 
  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

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

• 
  A
• 
  B
• 
  C
• 
  D

The trigonometric function are continuous whenever

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

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

• quadratic function A
• constant function B
• linear function C
• exponential function D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

• 0 A
• 1 B
• 1/2 C
• 
  D