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

A function from X to X is denoted as

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

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

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = tan x then f(0) is

• 0 A
• 1 B
• 1/2 C

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

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

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

• 0 A
• 1 B
• -1 C
• 2 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 value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

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

The range of function f(x)=-x2+2x-1 is

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

f(x) = 1 is

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

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 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

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these 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

• 0 A
• 1 B
• 2 C
• 
  D

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• (1,∞) C
• None 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) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

The set of points {(x,y)|y = f(x),∀x∈} is called

• Relation A
• Graph of f B
• Function C
• All are correct D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

An even function is symmetric about the line

• y = x A
• x = 0 B
• y = -x C
• y = 0 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

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 D

• -2 A
• -1 B
• 1 C
• 2 D