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

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] 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

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

• 0 A
• -2 B
• 1 C
• 4 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

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 0 A
• 1 B
• 
  C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

The range of y=x2 + 1 is the set of non-negative real numbers except

• 0≤ y < 1 A
• 0 < y < 1 B
• 0≤ y≤ 1 C
• 0 < y≤1 D

The domain of f(x) = log x is

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

f(x) = sin x is:

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

f(x) = log x + 3 is a

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

If f(x) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 D

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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 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

xy= 2 is:

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

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

If f(x) = x + 1 then f(z²-1) is

• z² A
• z²+ 2 B
• z²- 2 C
• none of these 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

• images A
• pre-images B
• constants 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

The trigonometric function are continuous whenever

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D