ECAT Mathematics Chapter 17 MCQ Test With Answer for Mathematics chapter 17 (Functions and Limits)

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D

• 0 A
• 1 B
• 8 C
• ∞ D

If f(x) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 D

f(x) = ax + b will be an identity function if

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

• 0 A
• 1 B
• 1/2 C
• 
  D

A function from X to X is denoted as

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

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

• sinx A
• cosx B
• tanx C
• secx D

If f(x) = tan x then f(0) is

• 0 A
• 1 B
• 1/2 C

f(x) = 2^x+ 3 . 2^2x+ 5 is

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

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

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

An even function is symmetric about the line

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

f(x) = sin x + cos²x is

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

• -1 A
• 1 B
• 2 C
• -2 D

• 0 A
• 1 B
• -1 C
• none of these D

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

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

• Does not exist because f is unbounded A
• Is not attained even though f is bounded B
• Is equal to 1 C
• Is equal to -1 D

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

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

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

• 0 A
• 1 B
• 
  C
• -1 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

• π A
• 2π B
• π/2 C
• None of these 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

• 
  A
• 
  B
• 
  C
• 
  D

• 2 A
• 
  B
• 
  C
• 0 D

If f(x) = cos x then f(0) is

• 0 A
• 1 B
• 1/2 C
• 
  D