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

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

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

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

• 1 A
• 2 B
• 3 C
• 4 D

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

x = 3 cos t, y = 3 sin t represent

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

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

If y is an image of x under the function f, we denote it by:

• x = f(y) A
• x = y B
• y = f(x) C
• f(x, y) = c D

If f(x) = |x|, f(x) is a:

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

Which one is an identity function ?

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

Which one is a constant function ?

• f(x) = x² A
• f(x) = x B
• f(x) = x + 1 C
• f(x) = 14 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

Let f(x) = cos x, then f(x) is an:

• Even function A
• Odd function B
• Power function 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

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

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

• -1 A
• 0 B
• 1 C
• 
  D

• 0 A
• 2 B
• 1 C
• 3 D