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

Which is an explicit function

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

If f(x) = cos x then f(0) is

• 0 A
• 1 B
• 1/2 C
• 
  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

• 2 A
• 1 B
• 5 C
• 0 D

• sin h x A
• cos h x B
• sec h x C
• cosec h x 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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

The only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

What is range of the function g (x) =|x-3|?

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

If f (x) = 2x+1 then fof (x) = _______;

• 4x+3 A
• 2x +3 B
• 4x +1 C
• None of these D

A function from X to X is denoted as

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

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

• α A
• c B
• b C
• d D

if f(x) = x³ -3x² +5x -1, then f(-√2)=

• 7+7√2 A
• 3+3√2 B
• -7-7√2 C
• -3-3√2 D

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

• 0 A
• 1 B
• 
  C
• -1 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

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π 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

• 0 A
• 1 B
• 1/2 C
• 
  D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 
  A
• 
  B
• 
  C
• 
  D

xy= 2 is:

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

• 2 A
• 
  B
• 
  C
• 0 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

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

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D