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

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) C
• ( 3 ,∞) D

• 
  A
• 
  B
• 
  C
• 
  D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X C
• none of these D

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

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

• 1 A
• 2 B
• 3 C
• 4 D

The domain of y =√(x^2-9) is

• R A
• (0 , +∞) B
• (-∞ , -3 )∪ (3 , +∞) C
• (0 ,∞) D

• 0 A
• 1 B
• 
  C
• -1 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

• f(x) = x² A
• f(x²) = x B
• f(x) = x C
• none of these D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

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

• 11 A
• 7 B
• 5 C
• 2 D

• -2 A
• -1 B
• 1 C
• 2 D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

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

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

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

• sinx A
• cosx B
• tanx C
• secx D

If f(x) = x + 1 then f(z²-1) is

• z² A
• z²+ 2 B
• z²- 2 C
• none of these D

• One-to-one and onto A
• One-to-one but not on to B
• Onto but not one-to-one C
• Neither one-to-one nor onto D

• 0 A
• 1 B
• 2 C
• 1/2 D

• 2 A
• 
  B
• 
  C
• 0 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

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 function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

• 
  A
• 
  B
• 
  C
• 
  D

• 3/4 A
• r B
• v C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Composition of functions is

• Non-commutative (fg ≠ gf) A
• non-associative [8(fh) ≠(8f)h] B
• Commutative (fg = gf) C
• f of-1≠ 1 D

Graph of the question x²+ y²= 4 is

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