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

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

• 2 A
• -1 B
• 8 C
• not defined D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 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

• 2 A
• 
  B
• -2 C
• none of these D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

• α A
• c B
• b C
• d D

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

• 0 A
• 1 B
• 
  C
• -1 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

• One-one but not onto A
• One-one and onto B
• Onto but not one-one C
• Neither one-one nor onto D

• sin h x A
• cos h x B
• sec h x C
• cosec h x D

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

• sinx A
• cosx B
• tanx C
• secx D

• 2 A
• 
  B
• 
  C
• 0 D

• 0 A
• 1 B
• 1/2 C
• 
  D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x + 1 then f(z²-1) is

• z² A
• z²+ 2 B
• z²- 2 C
• none of these D

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

• 0 A
• 1 B
• f(x) C
• -f(x) D

• 
  A
• 
  B
• 
  C
• 
  D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 8 C
• ∞ D

• 
  A
• 
  B
• 
  C
• 
  D

The domain of y =√(x^2-9) is

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

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D