ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 17

Composition of functions is

• Non-commutative (fg ≠ gf) A
• non-associative [8(fh) ≠(8f)h] B
• Commutative (fg = gf) C
• f of-1≠ 1 D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

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

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

• 2 A
• 
  B
• -2 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) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 D

• f(x) = x² A
• f(x²) = x B
• f(x) = x C
• none of these D

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

• 0 A
• 1 B
• 2 C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 1/2 C
• 
  D

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A D

• 0 A
• 1 B
• 
  C
• -1 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

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

f(x) = x is

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

If y is an image of x under the function f, then we write

• y = f(x) A
• x = f(y) B
• y = x 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

The domain of f(x) = log x is

• [0,∞] A
• (0,∞) B
• [0,∞[ C
• [∞,∞] D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

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

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

• domain A
• range B
• function C
• none of these D

• 3/4 A
• r B
• v C
• None of these D

• 2 A
• 1 B
• 5 C
• 0 D