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

• 0 A
• 1 B
• 1/2 C
• 
  D

f(x) = log x + 3 is a

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

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 2 A
• 1 B
• 5 C
• 0 D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 1 A
• 0 B
• -2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) 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
• 
  B
• 
  C
• 
  D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

f(x) = 3x/x² + 1 is:

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

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

f(x) = 2x²+ 3x + 5 is a

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

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

Inverse of the function y-10x is

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

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

• 0 A
• 1 B
• 8 C
• ∞ D

The domain of y = cos-1 x is

• -∞ < x < ∞ A
• -1≤ x≤ 1 B
• x≤ -1 or x ≥ 1 C
• None of these D

f(x) = ax + b will be a constant function if

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

• 3/4 A
• r B
• v C
• None of these D

• 0 A
• 1 B
• 
  C
• none of these D

f (x) = | x | is a/an

• Injective function A
• Bijective function B
• Surjective function C
• Implicit function 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

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• sin h x A
• cos h x B
• tan h x C
• cot h x D