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

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

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

• 0 A
• 1 B
• 2 C
• 3 D

• Constant A
• Implicit B
• Identity C
• Inverse 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

Let f(x) = x³ + sin x, then f(x) is:

• Even function A
• Odd function B
• Power function 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

Which one is an identity function ?

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

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• 0 A
• 2 B
• 1 C
• 3 D

• 1 A
• 2 B
• 3 C
• 4 D

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

• 0 A
• 1 B
• e C
• Does not exist 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

• 
  A
• 
  B
• 
  C
• 
  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 an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D