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

• 2 A
• 1 B
• 5 C
• 0 D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

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

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

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = x is

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

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 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

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

• 0 A
• 1 B
• 1/2 C
• 
  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
• 
  B
• -2 C
• none of these D

• sin h x A
• cos h x B
• tan h x C
• cot h x D

f(x) = C is

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

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 area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

• 3a2 A
• 2a2 B
• 2a C
• -7a 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

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

sin h x = ___________

• 
  A
• 
  B
• 
  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

• 0 A
• 1 B
• 8 C
• ∞ D

• -1 A
• 1 B
• 2 C
• -2 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

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 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

Sin h^-1x = _________

• 
  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

A function from X to Y is written as

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