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

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

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

The term function was introduced by:

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

• 
  A
• 
  B
• 
  C
• 
  D

Cosh² x + Sinh² x =

• Cosh x² A
• Cosh 2x B
• Sinh 2x C
• Tanh 2x D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

Which one is an identity function ?

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

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

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

Let f(x) = x³ + sin x, then f(x) is:

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• Even A
• Odd B
• One-one C
• Zero D