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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these 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

• 1 A
• 0 B
• -2 C
• 3 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

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

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

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

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

• -2 A
• -1 B
• 1 C
• 2 D

The function f(x) =|x| is a/an_______function

• Even A
• Odd B
• Both even as well as odd C
• Neither even nor odd D

• 0 A
• 1 B
• 
  C
• -1 D

The domain the function : f(x) = x² is given by

• R A
• Set of all non-negative Real numbers B
• R^-1 C
• None of these D

The domain of the function x/x² -4 is given by

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

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

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y D

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

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• -25 B
• 5 C
• 45 D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 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

A function F(x) is called even if

• F(x) = F (-x) A
• F(x) = F(-x) B
• F(x) = -F(x) C
• 2F(x) = 0 D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 
  A
• 
  B
• 
  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

In the function f: A⟶B, the elements of a are called

• Images A
• Pre-images B
• ranges C
• Parameters 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

• 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

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