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

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

• (1,7/3) A
• (1, 7/5) B
• (1, 11/7) C
• (1, 3/5) D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• -2 A
• -1 B
• 1 C
• 2 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 = secθ,y = tanθ are the parametric equations of

• Circle A
• Hyperbola B
• Ellipse C
• parabola D

f(x) = x is

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

• 0 A
• 1 B
• 1/2 C
• 
  D

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

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

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

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

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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

• 0 A
• 1 B
• 2 C
• 1/2 D

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 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

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

• 2 A
• 
  B
• 
  C
• 0 D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

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

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