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

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

• 1 A
• 5 B
• -5 C
• -1 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

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

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

• 0 A
• 1 B
• 8 C
• ∞ D

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

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

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

If f(x) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

• 2 A
• 1 B
• 5 C
• 0 D

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

The domain of f(x) = log x is

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

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D

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

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X C
• none of these D

• 3/4 A
• r B
• v C
• None of these D

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

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

• sinx A
• cosx B
• tanx C
• secx D

f(x) = x is

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

• 2 A
• 4 B
• 8 C
• 12 D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

• 0 A
• 1 B
• 1/2 C
• 
  D

The range of inequality x + 2 > 4 is

• (-1, 2) A
• (-2, 2) B
• (1,∞) C
• None D

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

Inverse of the function y-10x is

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D