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

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

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

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

• 0 A
• 3 B
• 9 C
• -3 D

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

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

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

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

• 2 A
• 4 B
• 8 C
• 12 D

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

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

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  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) = x² A
• f(x²) = x B
• f(x) = x C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

A function from X to Y is written as

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

The range of inequality x + 2 > 4 is

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

• 
  A
• 
  B
• 
  C
• 
  D

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A 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

• 
  A
• 
  B
• 
  C
• 
  D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph 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

• 3/4 A
• r B
• v C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

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

• 
  A
• 
  B
• 
  C
• 
  D