12th class Mathematics chapter 1 online mcq test with answers for Fa part 2 Mathematics Chapter 1 (Functions and Limits)

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

• 
  A
• 
  B
• 
  C
• 
  D

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

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

• Independent variable A
• Not function B
• Function C
• None of these D

Every relation, which can be represented by a linear equation in two variables, represents a:

• Graph A
• Function B
• Cartesian product C
• Relation 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

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

• -1 A
• 0 B
• 1 C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

Cosh² x + Sinh² x =

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

• Undefined A
• 3a² B
• a² C
• 0 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 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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• 0 A
• 1 B
• e C
• Does not exist D