ECAT Mathematics Chapter 17 Functions and Limits

A function from X to Y is written as

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

• 2 A
• 
  B
• 
  C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 2 C
• 
  D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

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

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

cos h² x + sin h² x

• an even function A
• an odd function B
• an even and implicit function C
• neither even nor a odd D

• -2 A
• -1 B
• 1 C
• 2 D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) C
• ( 3 ,∞) 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

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

• 3a2 A
• 2a2 B
• 2a C
• -7a D

• 
  A
• 
  B
• 
  C
• 
  D

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D

• 0 A
• -2 B
• 1 C
• 4 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

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

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

The range of y=x2 + 1 is the set of non-negative real numbers except

• 0≤ y < 1 A
• 0 < y < 1 B
• 0≤ y≤ 1 C
• 0 < y≤1 D

The trigonometric function are continuous whenever

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

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

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

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion D