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

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

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

f(x) = x³is:

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

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

• Leibniz A
• Newton B
• Euler C
• None of these D

• 0 A
• 1 B
• 8 C
• ∞ D

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these 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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

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

• 0 A
• -25 B
• 5 C
• 45 D

A function from X to X is denoted as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y D

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

The only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

• 
  A
• 
  B
• 
  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

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

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

Which is not included in the domain of cos^-1x

• 0 A
• 1 B
• -1 C
• 2 D

f(x) = C is

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

• -2 A
• -1 B
• 1 C
• 2 D

• 2 A
• 6 B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 0 A
• 1 B
• 
  C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 4 B
• 8 C
• 12 D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  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

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D