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

Which one is a constant function ?

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

The term function was introduced by:

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

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

x² + y² = 4 is:

• Function A
• Not a function B
• Ellipse C
• Line D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• Line A
• Circle B
• Parabola C
• Ellipse 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

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

• Even A
• Odd B
• One-one C
• Zero D

• 
  A
• 
  B
• 
  C
• 
  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

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

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

• 4, 6 A
• 2, 7 B
• 2, 3 C
• 2, 5 D

• 
  A
• 
  B
• 
  C
• 
  D

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

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