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

• 0 A
• 1 B
• 
  C
• -1 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

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

• 0 A
• 1 B
• 1/2 C

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

• domain A
• range B
• function C
• none of these 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

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion D

• 
  A
• 
  B
• 
  C
• 
  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) = 1 is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 3/4 A
• r B
• v C
• None of these D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 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

f(x) = x is

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

• 
  A
• 
  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

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 0 A
• 3 B
• 9 C
• -3 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

f(x) = 2x²+ 3x + 5 is a

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

• 0 A
• 1 B
• 
  C
• -1 D

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y D

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

• 0 A
• -4 B
• 
  C
• none of these D

• Does not exist because f is unbounded A
• Is not attained even though f is bounded B
• Is equal to 1 C
• Is equal to -1 D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D