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

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

• 0 A
• 1 B
• 2 C
• 3 D

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

• 0 A
• 1 B
• e C
• Does not exist D

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

• -1 A
• 0 B
• 1 C
• 
  D

The term function was introduced by:

• Euler A
• Newton B
• Lagrange C
• Leibniz 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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• Undefined A
• 3a² B
• a² C
• 0 D

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

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

• Constant A
• Explicit B
• Exponential C
• Logarithmic 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

• 
  A
• 
  B
• 
  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

Let f(x) = x³ + sin x, then f(x) is:

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