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

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 0 A
• 1 B
• 1/2 C
• 
  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

The domain of f(x) = log x is

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

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

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

f(x) = x is

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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

• 2 A
• -1 B
• 8 C
• not defined 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 the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

• 0 A
• 1 B
• -1 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• image A
• pre-image B
• constant C
• none of these D

• 0 A
• 1 B
• 2 C
• 1/2 D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

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

• 1 A
• 2 B
• 3 C
• 4 D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 3/4 A
• r B
• v C
• None of these D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 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

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

• sinx A
• cosx B
• tanx C
• secx D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 0 A
• 1 B
• 1/2 C
• 
  D

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y D

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

• 0 A
• 1 B
• -1 C
• 2 D

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

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D