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

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

• Line A
• Parabola B
• Ellipse C
• Hybperbola 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

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

• 0 A
• 1 B
• 2 C
• 3 D

Which one is a constant function ?

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

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

• Continuous at x = 1 A
• Not continuous at x = 1 B
• Both a and b C
• none D

• 0 A
• 2 B
• 1 C
• 3 D

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

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

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

• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D

• Even A
• Odd B
• One-one C
• Zero D

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

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

Inverse hyperbolic functions are expressed in terms of natural:

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

• Undefined A
• 3a² B
• a² C
• 0 D

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D