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

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X C
• none of these D

• 1 A
• 0 B
• -2 C
• 3 D

The domain and range of a trigonometric function can be allocate by their

• graph A
• Continuity B
• Discontinuity C
• Periods D

• 0 A
• 1 B
• 1/2 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

• 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

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

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

• -1 A
• 1 B
• 2 C
• -2 D

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

The domain of y =√(x^2-9) is

• R A
• (0 , +∞) B
• (-∞ , -3 )∪ (3 , +∞) C
• (0 ,∞) D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

An even function is symmetric about the line

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

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

• 0 A
• 1 B
• f(x) C
• -f(x) D

• 2 A
• -1 B
• 8 C
• not defined D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 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 the value of the sphere, v =4/3πr^2, then the which of the following statement is true?

• r is the function of v A
• v is the function ofπ B
• π is independent variable C
• None of these D

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

• 0 A
• 1 B
• -1 C
• 2 D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

• 2 A
• 
  B
• 
  C
• 0 D

• 0 A
• -2 B
• 1 C
• 4 D

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

f(x) = 2x²+ 3x + 5 is a

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

f(x) = 1 is

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