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

• x = f(y) A
• y = f(x) B
• x = f(x) C
• y = f(y) D

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

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

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

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

• 0 A
• -25 B
• 5 C
• 45 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

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

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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

• 2 A
• 6 B
• 
  C
• 
  D

Graph of the question x²+ y²= 4 is

• A circle A
• An ellipse B
• A parabola C
• A square D

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

• 2 A
• 
  B
• -2 C
• none of these D

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) D

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

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 domain of y =√(x^2-9) is

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

• 
  A
• 
  B
• 
  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

f(x) = x is

• trigonometric function A
• exponential function B
• quadratic function C
• identify function D

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

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

• 0 A
• 1 B
• -1 C
• none of these D

The largest possible domain of the function:

y=√(x ) is:

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

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

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

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

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

A function from X to Y is written as

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