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

• 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

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

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

f(x) = 1 is

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

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 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 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

• 2 A
• 4 B
• 8 C
• 12 D

An even function is symmetric about the line

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

• 0 A
• 1 B
• -1 C
• none of these D

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

• Leibniz A
• Newton B
• Euler C
• None of these 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

f(x) = C is

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

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

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

The period of the function f(x) = sin⁴x + cos⁴x is

• π A
• π/2 B
• 2π C
• None of these D

• 2 A
• -1 B
• 8 C
• not defined 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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 1 B
• 5 C
• 0 D

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

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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

• -2 A
• -1 B
• 1 C
• 2 D

The largest possible domain of the function:

y=√(x ) is:

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

f(x) = x3-x/x2+1 is :

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

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

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

f(x) = log x + 3 is a

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