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

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

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

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

• 
  A
• 
  B
• 
  C
• 
  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

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

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

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• (1,∞) C
• None 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

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

• 0 A
• -25 B
• 5 C
• 45 D

f (x) = | x | is a/an

• Injective function A
• Bijective function B
• Surjective function C
• Implicit function 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

f(x) = x is

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

Inverse of the function y-10x is

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

cos h² x + sin h² x

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

• 
  A
• 
  B
• 
  C
• 
  D

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

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct D

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

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

• 2 A
• 4 B
• 8 C
• 12 D

• (1,7/3) A
• (1, 7/5) B
• (1, 11/7) C
• (1, 3/5) D

The largest possible domain of the function:

y=√(x ) is:

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

f(x) = sin x + cos²x is

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

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

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

• 0 A
• 1 B
• 2 C
• 1/2 D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

• -1 A
• 1 B
• 2 C
• -2 D

• image A
• pre-image B
• constant C
• none of these D

f(x) = ax + b will be a constant function if

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  D