ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 17 (Functions and Limits)

If f(x) = tan x then f(0) is

• 0 A
• 1 B
• 1/2 C

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 0 A
• 1 B
• 
  C
• none of these D

• sin h x A
• cos h x B
• sec h x C
• cosec h x 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 function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

x = secθ,y = tanθ are the parametric equations of

• Circle A
• Hyperbola B
• Ellipse C
• parabola D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = sin x + cos²x is

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

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

• graph A
• Continuity B
• Discontinuity C
• Periods 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

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

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion 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

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

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

The range of y=x2 + 1 is the set of non-negative real numbers except

• 0≤ y < 1 A
• 0 < y < 1 B
• 0≤ y≤ 1 C
• 0 < y≤1 D

A function from X to Y is written as

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

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) C
• ( 3 ,∞) D

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

Composition of functions is

• Non-commutative (fg ≠ gf) A
• non-associative [8(fh) ≠(8f)h] B
• Commutative (fg = gf) C
• f of-1≠ 1 D