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

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

The term function was introduced by:

• Euler A
• Newton B
• Lagrange C
• Leibniz D

The area A of a circle as a function of its circumference C is:

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Let f(x) = x², real valued function then domain of f is the set of all:

• Real numbers A
• Integers B
• Positive numbers C
• Natural numbers D

f (x) = x secx, then f(0)=

• -1 A
• 0 B
• 1 C
• 
  D

Which one is an identity function ?

• 
  A
• f(x) = g(x) B
• f (x) = x C
• f(x) = 1 D

• Common logarithmic A
• Natural logarthmic B
• Exponential C
• None of these D

• f(x² + 1) A
• f(x) B
• 
  C
• f(x²) 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) = x² + 3, then domain of f is:

• Set of all integers A
• Set of natural numbers B
• Set of real numbers C
• Set of rational numbers D

• Implicit A
• Explicit B
• Exponential C
• Logarithmic D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  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

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

Cosh² x + Sinh² x =

• Cosh x² A
• Cosh 2x B
• Sinh 2x C
• Tanh 2x D