Mathematics ECAT Pre Engineering Chapter 17 Functions and Limits Online Test

• 
  A
• 
  B
• 
  C
• 
  D

if the value of the sphere, v =4/3πr^2, then the which of the following statement is true?

• r is the function of v A
• v is the function ofπ B
• π is independent variable C
• None of these D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• 1/2 C
• 
  D

• 0 A
• 1 B
• 
  C
• -1 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

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

• 0 A
• -25 B
• 5 C
• 45 D

• 0 A
• 1 B
• 1/2 C
• 
  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

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 3 B
• 9 C
• -3 D

f(x) = C is

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

• -1 A
• 1 B
• 2 C
• -2 D

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

• 0 A
• 1 B
• 
  C
• -1 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

• 
  A
• 
  B
• 
  C
• 
  D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x + 1 then f(z²-1) is

• z² A
• z²+ 2 B
• z²- 2 C
• none of these D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

f(x) = x³is:

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

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 2 A
• -1 B
• 8 C
• not defined D

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D