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

Inverse of the function y-10x is

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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 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

f(x) = x³is:

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

• 0 A
• 1 B
• 
  C
• -1 D

f(x) = x3-x/x2+1 is :

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

• -2 A
• -1 B
• 1 C
• 2 D

• (1,7/3) A
• (1, 7/5) B
• (1, 11/7) C
• (1, 3/5) D

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

The period of the function f(x) = sin⁴x + cos⁴x is

• π A
• π/2 B
• 2π C
• None of these D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 0 A
• -2 B
• 1 C
• 4 D

The domain the function : f(x) = x² is given by

• R A
• Set of all non-negative Real numbers B
• R^-1 C
• None of these 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

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

• 0 A
• 1 B
• f(x) C
• -f(x) D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

• 0 A
• 1 B
• -1 C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• 1/2 C
• 
  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

• 
  A
• 
  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

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

• 3/4 A
• r B
• v C
• None of these D

A function from X to X is denoted as

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

If y=f(x) is a function then y is called

• dependent variable A
• independent variable B
• constant C
• none of these D