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

Parametric equations x = a cos t, y = a sin t represent the equation of:

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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• Line A
• Parabola B
• Ellipse C
• Hybperbola 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

• 4 A
• Does not exist B
• 
  C
• 
  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

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

• Line A
• Circle B
• Parabola C
• Hyperbola 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

• 0 A
• 1 B
• e C
• Does not exist D

• 0 A
• 2 B
• 1 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• Constant A
• Implicit B
• Explicit C
• Inverse 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

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