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

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  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

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

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

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

• 1 A
• 2 B
• 3 C
• 4 D

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• Constant A
• Implicit B
• Identity 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

Let f(x) = x³ + sin x, then f(x) is:

• Even function A
• Odd function B
• Power 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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• -1 A
• 0 B
• 1 C
• 
  D

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

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

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

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

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

The term function was introduced by:

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

If the degree of a polynomial function is ------------, then it is called a linear function:

• 0 A
• 1 B
• 2 C
• 3 D