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

A function from X to X is denoted as

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

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

• 0 A
• 1 B
• f(x) C
• -f(x) D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

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

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

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

• 2 A
• -1 B
• 8 C
• not defined D

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

f(x) = x3-x/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) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

If y=f(x) is a function then x is called

• dependent variable A
• independent variable B
• constant C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The set of points {(x,y)|y = f(x),∀x∈} is called

• Relation A
• Graph of f B
• Function C
• All are correct D

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D

sin h x = ___________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

• 0 A
• 1 B
• -1 C
• none of these D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 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