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

f (x) = | x | is a/an

• Injective function A
• Bijective function B
• Surjective function C
• Implicit function D

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

What is range of the function g (x) =|x-3|?

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

• 2 A
• 1 B
• 5 C
• 0 D

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

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

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• -2 A
• -1 B
• 1 C
• 2 D

Which is not included in the domain of cos^-1x

• 0 A
• 1 B
• -1 C
• 2 D

f(x) = sin x + cos²x is

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

f(x) = 2^x+ 3 . 2^2x+ 5 is

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

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

• 2 A
• 
  B
• 
  C
• 0 D

• Does not exist because f is unbounded A
• Is not attained even though f is bounded B
• Is equal to 1 C
• Is equal to -1 D

A function F(x) is called even if

• F(x) = F (-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 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 of y =√(x^2-9) is

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

• 
  A
• 
  B
• 
  C
• 
  D

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

• α A
• c B
• b C
• d D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

The period of the function f(x) = sin⁴x + cos⁴x is

• π A
• π/2 B
• 2π C
• None of these D

• One-one but not onto A
• One-one and onto B
• Onto but not one-one C
• Neither one-one nor onto D

The trigonometric function are continuous whenever

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

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

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

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D