2nd Year Mathematics Chapter 1 Online MCQ Test for 12th Class Mathematics Unit 1 (Functions and Limits)

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain C
• None of these D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

x² + y² = 4 is:

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• -1 A
• 0 B
• 1 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
• Identity C
• Inverse 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

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

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

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

• 0 A
• 1 B
• 2 C
• 3 D

The term function was introduced by:

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