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

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

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

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

f(x) = sin x + cos x is ------------ function:

• Even A
• Odd B
• Composite C
• Neither even nor odd function D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

Which one is a constant function ?

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

• Undefined A
• 3a² B
• a² C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

The term function was introduced by:

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Which one is an identity function ?

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

• 1 A
• 2 B
• 3 C
• 4 D

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

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines 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