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

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = ax + b will be a constant function if

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  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 function from X to Y is written as

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

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

• 0 A
• 1 B
• -1 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

What is range of the function g (x) =|x-3|?

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 2 A
• 6 B
• 
  C
• 
  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

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

• 0 A
• 1 B
• 1/2 C
• 
  D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

• -1 A
• 1 B
• 2 C
• -2 D

If f(x) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 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

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

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

• 2 A
• 
  B
• -2 C
• none of these 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

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) C
• ( 3 ,∞) D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• (1,∞) C
• None D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

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

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

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

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