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

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

• 11 A
• 7 B
• 5 C
• 2 D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A function from X to X is denoted as

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

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 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

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

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

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 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

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = sin x is:

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

tan h x = _________

• 
  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

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

The range of function f(x)=-x2+2x-1 is

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

• 2 A
• 1 B
• 5 C
• 0 D

• 0 A
• 1 B
• 1/2 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

Graph of the question x²+ y²= 4 is

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

• 3/4 A
• r B
• v 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

• 0 A
• 1 B
• 
  C
• none of these D

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

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