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

A function from X to X is denoted as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y D

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

• 2 A
• 6 B
• 
  C
• 
  D

f(x) = 3x⁴ -2x² + 7 is:

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

• 
  A
• 
  B
• 
  C
• 
  D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

• sin h x A
• cos h x B
• tan h x C
• cot h x D

• sin h x A
• cos h x B
• tan h x C
• cot h x D

• 1 A
• 0 B
• -2 C
• 3 D

if the value of the sphere, v =4/3πr^2, then the which of the following statement is true?

• r is the function of v A
• v is the function ofπ B
• π is independent variable C
• None of these D

• 2 A
• 
  B
• 
  C
• 0 D

• sin h x A
• cos h x B
• sec h x C
• cosec h x D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = tan x then f(0) is

• 0 A
• 1 B
• 1/2 C

Graph of the question x²+ y²= 4 is

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

• 0 A
• 1 B
• 8 C
• ∞ D

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

• Constant function A
• Polynomial function B
• Identity function C
• Linear function D

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

• 0 A
• -25 B
• 5 C
• 45 D

• 0 A
• 1 B
• 
  C
• none of these D

f(x) = x is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

f(x) = sin x + cos²x is

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D