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

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

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

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

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

• 0 A
• 1 B
• 2 C
• 3 D

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

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

The term function was introduced by:

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

Which one is an identity function ?

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

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

• -1 A
• 0 B
• 1 C
• 
  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

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

Let f(x) = x² + 3, then domain of f is:

• Set of all integers A
• Set of natural numbers B
• Set of real numbers C
• Set of rational numbers D

Which one is a constant function ?

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

• Common logarithmic A
• Natural logarthmic B
• Exponential C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

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

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

• 
  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

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

If y = (x), then the variable x is called --------- variable of a function f.

• Dependent A
• Independent B
• Image of y C
• None of these D