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

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) = 3x⁴ -2x² + 7 is:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 D

• range of f A
• domain of f B
• both (a) and (b) C
• none of these D

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• (1,∞) C
• None 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

f(x) = log x + 3 is a

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

• 0 A
• 1 B
• 
  C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 4 B
• 8 C
• 12 D

f(x) = sin x + cos²x is

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

• 3/4 A
• r B
• v C
• None of these D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

• 3a2 A
• 2a2 B
• 2a C
• -7a D

The domain and range of a trigonometric function can be allocate by their

• graph A
• Continuity B
• Discontinuity C
• Periods D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

Graph of the question x²+ y²= 4 is

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

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 2 A
• -1 B
• 8 C
• not defined D

f(x) = 1 is

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

f(x) = x³is:

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

• 0 A
• 1 B
• 1/2 C
• 
  D

f(x) = x3-x/x2+1 is :

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

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D