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

In the function f: A⟶B, the elements of a are called

• Images A
• Pre-images B
• ranges C
• Parameters D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• none of these D

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

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] 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

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

• 1 A
• 0 B
• -2 C
• 3 D

Inverse of the function y-10x is

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

• range of f A
• domain of f B
• both (a) and (b) C
• none of these D

An even function is symmetric about the line

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

Which of the following function form 1 to itself are bi-jective

• F(x) = x + 3 A
• F(x) = x⁵ B
• F(x) = 3x + 2 C
• F(x) = x²+ x D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

xy= 2 is:

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

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

f(x) = sin x + cos²x is

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

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = log x + 3 is a

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

A function from X to X is denoted as

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

x = secθ,y = tanθ are the parametric equations of

• Circle A
• Hyperbola B
• Ellipse C
• parabola D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

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

• 0 A
• 1 B
• -1 C
• 2 D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D