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

• 0 A
• 1 B
• e C
• Does not exist 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

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

• Euler A
• Cauchy B
• Leibniz C
• Newton 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

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

• 0 A
• 2 B
• 1 C
• 3 D

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

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

• sin x A
• cos x B
• sinh x C
• cosh x D

• Parabola A
• Hyperbola B
• Ellipse C
• Circle 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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

Inverse hyperbolic functions are expressed in terms of natural:

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

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

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

• 0 A
• 1 B
• 2 C
• 3 D

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

• -1 A
• 0 B
• 1 C
• 
  D