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

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

• graph A
• Continuity B
• Discontinuity C
• Periods 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

The domain the function : f(x) = x² is given by

• R A
• Set of all non-negative Real numbers B
• R^-1 C
• None of these D

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

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

The range of the function f : x→ y is defined by

• {x| y = f (x) ∀x∈ X ∧y∈y} A
• {(x,y) |y = f (x)∀x∈ X} B
• {y|y = f (x) ∀x∈ X ∧y∈y} C
• Y D

• images A
• pre-images B
• constants C
• none of these D

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

• sinx A
• cosx B
• tanx C
• secx D

• 
  A
• 
  B
• 
  C
• 
  D

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = sin x + cos²x is

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

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D

• 
  A
• 
  B
• 
  C
• 
  D

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A D

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

if f(x) = x³ -3x² +5x -1, then f(-√2)=

• 7+7√2 A
• 3+3√2 B
• -7-7√2 C
• -3-3√2 D

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

• 0 A
• -2 B
• 1 C
• 4 D

The set of points {(x,y)|y = f(x),∀x∈} is called

• Relation A
• Graph of f B
• Function C
• All are correct D

f(x) = ax + b will be an identity function if

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

• 0 A
• 1 B
• -1 C
• none of these D