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

f (x) = | x | is a/an

• Injective function A
• Bijective function B
• Surjective function C
• Implicit function D

• 0 A
• 1 B
• 1/2 C
• 
  D

The period of the function f(x) = sin⁴x + cos⁴x is

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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

• 0 A
• 1 B
• 1/2 C
• 
  D

f(x) = log x + 3 is a

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

• images A
• pre-images B
• constants C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• -2 B
• 1 C
• 4 D

The range of the function f : x→ y is defined by

• {x| y = f (x) ∀x∈ X ∧y∈y} A
• {(x,y) |y = f (x)∀x∈ X} B
• {y|y = f (x) ∀x∈ X ∧y∈y} C
• Y D

if f(x) = x³ -3x² +5x -1, then f(-√2)=

• 7+7√2 A
• 3+3√2 B
• -7-7√2 C
• -3-3√2 D

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

• 2 A
• 
  B
• 
  C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

• 2 A
• -1 B
• 8 C
• not defined D

• 0 A
• 1 B
• -1 C
• none of these D

f(x) = C is

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

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

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

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

f(x) = 1 is

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

• 0 A
• 1 B
• -1 C
• none of these 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

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

• 0 A
• 1 B
• 1/2 C
• 
  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

f(x) = 2^x+ 3 . 2^2x+ 5 is

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