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

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

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

Which one is a constant function ?

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

x = 3 cos t, y = 3 sin t represent

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

• Constant A
• Implicit B
• Identity C
• Inverse 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

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

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

• 
  A
• 
  B
• 
  C
• 
  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 f(x) = |x|, f(x) is a:

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

Every relation, which can be represented by a linear equation in two variables, represents a:

• Graph A
• Function B
• Cartesian product C
• Relation D

The term function was introduced by:

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

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

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The function y = ln x is a/an -------------- function of x.

• Constant A
• Explicit B
• Exponential C
• Logarithmic D

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
• 
  B
• 
  C
• 
  D

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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