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

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

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

• Undefined A
• 3a² B
• a² C
• 0 D

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

• -1 A
• 0 B
• 1 C
• 
  D

Cosh² x + Sinh² x =

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

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

Which one is an identity function ?

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

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

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

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

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

The term function was introduced by:

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

• Even A
• Odd B
• One-one C
• Zero D

tanh x =

• 
  A
• 
  B
• 
  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

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

• Complex A
• Rational B
• Real 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

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

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