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

• f(x² + 1) A
• f(x) B
• 
  C
• f(x²) D

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

• Independent variable A
• Not function B
• 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

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

Which one is a constant function ?

• f(x) = x² A
• f(x) = x B
• f(x) = x + 1 C
• f(x) = 14 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 + 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

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

• -1 A
• 0 B
• 1 C
• 
  D

• Parabola A
• Hyperbola B
• Ellipse C
• Circle 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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

The function y = ln x is a/an -------------- function of x.

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

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

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

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

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

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain C
• None of these 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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D