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

Let f(x) = x³ + sin x, then f(x) is:

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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 2 B
• 1 C
• 3 D

If y = (x), then the variable x is called --------- variable of a function f.

• Dependent A
• Independent B
• Image of y 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

f(x) is odd function. If and only if:

• f(-x) = -f(x) A
• f(-x) = f(x) B
• f(x) = 3f(-x) C
• f(x) = -3f(-x) 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

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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• Constant A
• Implicit B
• Identity C
• Inverse 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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 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

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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D