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

• 2 A
• -1 B
• 8 C
• not defined D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

The domain of y =√(x^2-9) is

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

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

f(x) = sin x + cos²x is

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

• 
  A
• 
  B
• 
  C
• 
  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

Inverse of the function y-10x is

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• 
  C
• -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

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

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

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

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

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

xy= 2 is:

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A function from X to Y is written as

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

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

• 0 A
• 1 B
• 1/2 C
• 
  D