ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 17 (Functions and Limits)

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

The domain and range of a trigonometric function can be allocate by their

• graph A
• Continuity B
• Discontinuity C
• Periods D

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

• 0 A
• 1 B
• 2 C
• 1/2 D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 
  C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

A function F(x) is called even if

• F(x) = F (-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D

The function f(x) =|x| is a/an_______function

• Even A
• Odd B
• Both even as well as odd C
• Neither even nor odd D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

xy= 2 is:

• a constant function A
• an identity function B
• an improper function C
• implicit function D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

• -2 A
• -1 B
• 1 C
• 2 D

If y is an image of x under the function f, then we write

• y = f(x) A
• x = f(y) B
• y = x C
• none of these D

The only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

x = secθ,y = tanθ are the parametric equations of

• Circle A
• Hyperbola B
• Ellipse C
• parabola D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

If y=f(x) is a function then x is called

• dependent variable A
• independent variable B
• constant C
• none of these D

f(x) = x is

• trigonometric function A
• exponential function B
• quadratic function C
• identify function D

Graph of the question x²+ y²= 4 is

• A circle A
• An ellipse B
• A parabola C
• A square D

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

f(x) = x3-x/x2+1 is :

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 0 A
• 1 B
• -1 C
• none of these D

• range of f A
• domain of f B
• both (a) and (b) C
• none of these D

An even function is symmetric about the line

• y = x A
• x = 0 B
• y = -x C
• y = 0 D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = C is

• identity function A
• constant function B
• linear function C
• quadratic function D

What is range of the function g (x) =|x-3|?

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D