ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test

• 
  A
• 
  B
• 
  C
• 
  D

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

• Constant function A
• Polynomial function B
• Identity function C
• Linear function 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

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

The domain of y =√(x^2-9) is

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

• -2 A
• -1 B
• 1 C
• 2 D

f(x) = 1 is

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

• 0 A
• 1 B
• 1/2 C
• 
  D

f(x) = 2x²+ 3x + 5 is a

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

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

If y is an image of x under the function f, then we write

• y = f(x) A
• x = f(y) B
• y = x C
• none of these D

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

• quadratic function A
• constant function B
• linear function C
• exponential function 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

The domain of the function x/x² -4 is given by

• R A
• R + 2 B
• [R - (+2) C
• R-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

An even function is symmetric about the line

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

The only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

Inverse of the function y-10x is

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

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 D

f(x) = x³is:

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

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

• π A
• π/2 B
• 2π C
• None of these 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

The range of function f(x)=-x2+2x-1 is

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D