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

• 0 A
• -4 B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D

• 0 A
• 1 B
• 1/2 C
• 
  D

If f (x) = 2x+1 then fof (x) = _______;

• 4x+3 A
• 2x +3 B
• 4x +1 C
• None of these D

• 0 A
• 1 B
• -1 C
• none of these D

• 2 A
• 
  B
• 
  C
• 0 D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

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

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

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

• Constant function A
• Polynomial function B
• Identity function C
• Linear function D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

f(x) = x³is:

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

• 0 A
• 1 B
• 2 C
• 
  D

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct 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

• -2 A
• -1 B
• 1 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  D

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness 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) = 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 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
• -1 C
• none of these D

• 2 A
• -1 B
• 8 C
• not defined D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 
  A
• 
  B
• 
  C
• 
  D