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

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y D

if the value of the sphere, v =4/3πr^2, then the which of the following statement is true?

• r is the function of v A
• v is the function ofπ B
• π is independent variable C
• None of these D

• 0 A
• 1 B
• 
  C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

A function from X to X is denoted as

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

An even function is symmetric about the line

• y = x A
• x = 0 B
• y = -x C
• y = 0 D

Which is an explicit function

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

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

f(x) = log x + 3 is a

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

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X C
• none of these D

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

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

The domain of y =√(x^2-9) is

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

• 0 A
• 1 B
• 
  C
• -1 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

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 D

If f(x) = x + 1 then f(z²-1) is

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = C is

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

The domain of the function x/x² -4 is given by

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

The set of points {(x,y)|y = f(x),∀x∈} is called

• Relation A
• Graph of f B
• Function C
• All are correct D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

• 2 A
• 4 B
• 8 C
• 12 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

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

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

f(x) = sin x is:

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

• 
  A
• 
  B
• 
  C
• 
  D