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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• π A
• 2π B
• π/2 C
• None of these 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
• 
  C
• -1 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

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

The trigonometric function are continuous whenever

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

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 D

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

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

• sinx A
• cosx B
• tanx C
• secx D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

• -2 A
• -1 B
• 1 C
• 2 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(-2) is

• 4 A
• 6 B
• 2 C
• 0 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

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 2 A
• 
  B
• -2 C
• none of these D

• 0 A
• 1 B
• -1 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D

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

• 0 A
• 1 B
• 1/2 C

cos h² x + sin h² x

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

• 0 A
• 1 B
• 
  C
• -1 D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

• 0 A
• -25 B
• 5 C
• 45 D

• 
  A
• 
  B
• 
  C
• 
  D

• f(x) = x² A
• f(x²) = x B
• f(x) = x 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