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

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 8 C
• ∞ D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

• 
  A
• 
  B
• 
  C
• 
  D

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

• -2 A
• -1 B
• 1 C
• 2 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

An even function is symmetric about the line

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

The behavior of trigonometric function is called

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

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

f(x) = C is

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

Which is not included in the domain of cos^-1x

• 0 A
• 1 B
• -1 C
• 2 D

• 0 A
• 1 B
• 
  C
• -1 D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

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

• -1 A
• 1 B
• 2 C
• -2 D

• 0 A
• 1 B
• 2 C
• 1/2 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

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

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

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

• 0 A
• -2 B
• 1 C
• 4 D

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

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

• 
  A
• 
  B
• 
  C
• 
  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

xy= 2 is:

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