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

• 0 A
• 1 B
• -1 C
• none of these D

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

• 0 A
• 1 B
• 1/2 C
• 
  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

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

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

• 0 A
• 1 B
• 1/2 C
• 
  D

• 0 A
• 1 B
• 
  C
• -1 D

An even function is symmetric about the line

• y = x A
• x = 0 B
• y = -x C
• y = 0 D

f(x) = 3x/x² + 1 is:

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

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e 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

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

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 0 A
• 1 B
• -1 C
• none of these 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

• 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

• sin h x A
• cos h x B
• tan h x C
• cot h x D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

f(x) = sin x + cos²x is

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

f(x) = ax + b will be an identity function if

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

• 0 A
• 1 B
• 1/2 C
• 
  D

• f(x) = x² A
• f(x²) = x B
• f(x) = x C
• none of these 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
• 
  B
• 
  C
• 
  D

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 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

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• (1,∞) C
• None D