Second Year Mathematics Chapter 1 Online MCQ Test Functions and Limits Preparation

• R A
• R - {2} B
• R - {2, -2} C
• R - {-2} D

• sin x A
• cos x B
• sinh x C
• cosh x D

• 
  A
• 
  B
• 
  C
• 
  D

• Undefined A
• 3a² B
• a² C
• 0 D

If y is an image of x under the function f, we denote it by:

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines D

• 4 A
• Does not exist B
• 
  C
• 
  D

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

• Constant A
• Explicit B
• Implicit C
• Inverse D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• Continuous at x = 1 A
• Not continuous at x = 1 B
• Both a and b C
• none D

The range of the function f(x) = |x|

• 
  A
• 
  B
• 
  C
• 
  D

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

• Complex A
• Rational B
• Real C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = sin x + cos x is ------------ function:

• Even A
• Odd B
• Composite C
• Neither even nor odd function D

• 0 A
• 2 B
• 1 C
• 3 D

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

Let f(x) = x², then range of f is the set of all:

• Real numbers A
• Non-negative real numbers B
• Non-negative integers C
• Complex numbers D

Let f(x) = x³ + sin x, then f(x) is:

• Even function A
• Odd function B
• Power function C
• None of these D

If f(x) = |x|, f(x) is a:

• Constant function A
• Absolute function B
• Linear function C
• Quadratic function D