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

Let f(x) = cos x, then f(x) is an:

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

Cosh² x + Sinh² x =

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

Which one is an identity function ?

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

x = 3 cos t, y = 3 sin t represent

• Line A
• Circle B
• Parabola C
• Hyperbola D

• Line A
• Parabola B
• Ellipse C
• Hybperbola D

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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

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

The linear function f(x) = ax + b is an identity function if:

• a = 0, b = 1 A
• a = 1, b = 0 B
• a = 1, b = 1 C
• a = 0, b = 1 D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

• 
  A
• 
  B
• 
  C
• 
  D

• Even A
• Odd B
• One-one C
• Zero D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

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

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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