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

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

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

• 0 A
• 1 B
• -1 C
• none of these D

• 3/4 A
• r B
• v C
• None of these D

f(x) = 2x²+ 3x + 5 is a

• trigonometric function A
• algebraic function B
• exponential function C
• logarithmic function D

• sin h x A
• cos h x B
• tan h x C
• cot h x D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

If y=f(x) is a function then y is called

• dependent variable A
• independent variable B
• constant C
• none of these 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

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

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

• 0 A
• -25 B
• 5 C
• 45 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

• 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

• One-one but not onto A
• One-one and onto B
• Onto but not one-one C
• Neither one-one nor onto D

An even function is symmetric about the line

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

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 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

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

A function from X to Y is written as

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

The domain of y =√(x^2-9) is

• R A
• (0 , +∞) B
• (-∞ , -3 )∪ (3 , +∞) C
• (0 ,∞) D

• 0 A
• 1 B
• 1/2 C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 0 A
• 1 B
• 1/2 C
• 
  D

f(x) = 3x/x² + 1 is:

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

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

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D