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

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) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 D

• 0 A
• 1 B
• 2 C
• 1/2 D

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

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

• 0 A
• 1 B
• -1 C
• 2 D

• 0 A
• 1 B
• 
  C
• -1 D

• images A
• pre-images B
• constants C
• none of these D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

• 1 A
• 0 B
• -2 C
• 3 D

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 
  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

• 3/4 A
• r B
• v C
• None of these D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

• 0 A
• -25 B
• 5 C
• 45 D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 2 A
• 6 B
• 
  C
• 
  D

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

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

• 0 A
• 1 B
• 
  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

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D