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

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

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

• 0 A
• 1 B
• 8 C
• ∞ D

• -2 A
• -1 B
• 1 C
• 2 D

cos h² x + sin h² x

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

The largest possible domain of the function:

y=√(x ) is:

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

The period of the function f(x) = sin⁴x + cos⁴x is

• π A
• π/2 B
• 2π C
• None of these D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 2 A
• 
  B
• 
  C
• 0 D

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] D

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

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

• 0 A
• 1 B
• 1/2 C

• 0 A
• 1 B
• 
  C
• none of these D

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

xy= 2 is:

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

• 2 A
• 4 B
• 8 C
• 12 D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• -2 C
• 3 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

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

• Leibniz A
• Newton B
• Euler C
• None of these D

f(x) = x is

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

• 0 A
• -2 B
• 1 C
• 4 D

• 0 A
• 1 B
• 1/2 C
• 
  D

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

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

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

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