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

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

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

• 
  A
• 
  B
• 
  C
• 
  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

f(x) = 1 is

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

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

• 0 A
• 1 B
• f(x) C
• -f(x) D

The domain of y =√(x^2-9) is

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 1/2 C
• 
  D

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

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

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

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) 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

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 D

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion 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 function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

• Constant function A
• Polynomial function B
• Identity function C
• Linear function D

A function from X to Y is written as

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

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

• 1 A
• 2 B
• 3 C
• 4 D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 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

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

• 0 A
• 1 B
• 1/2 C
• 
  D

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

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

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

f(x) = C is

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

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

• 
  A
• 
  B
• 
  C
• 
  D