ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 17 (Functions and Limits)

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

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

The domain of f(x) = log x is

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

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

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

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

The largest possible domain of the function:

y=√(x ) is:

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

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

• 0 A
• 1 B
• 
  C
• none of these D

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

• domain A
• range B
• function C
• none of these D

• 0 A
• 1 B
• 
  C
• -1 D

• 0 A
• 1 B
• 8 C
• ∞ D

• 
  A
• 
  B
• 
  C
• 
  D

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct 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

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

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  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

xy= 2 is:

• a constant function A
• an identity function B
• an improper function C
• implicit function D

• 0 A
• 1 B
• 1/2 C
• 
  D

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

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

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

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

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

• 3/4 A
• r B
• v C
• None of these D

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

• 0 A
• -25 B
• 5 C
• 45 D

f(x) = 3x⁴ -2x² + 7 is:

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

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 2 A
• 
  B
• 
  C
• 0 D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

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

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