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

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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

The linear function f(x) = ax + b is an identity function if:

• a = 0, b = 1 A
• a = 1, b = 0 B
• a = 1, b = 1 C
• a = 0, b = 1 D

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

• 0 A
• 1 B
• 2 C
• 3 D

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

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

Cosh² x + Sinh² x =

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

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

Which one is an identity function ?

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

• 0 A
• 2 B
• 1 C
• 3 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

• 1 A
• 2 B
• 3 C
• 4 D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

x² + y² = 4 is:

• Function A
• Not a function B
• Ellipse C
• Line D

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