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

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

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

f(x) = 3x⁴ -2x² + 7 is:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 1 B
• f(x) C
• -f(x) D

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 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 domain of the function x/x² -4 is given by

• R A
• R + 2 B
• [R - (+2) C
• R-4 D

f(x) = sin x + cos²x is

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

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

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

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

A function from X to X is denoted as

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

• 2 A
• -1 B
• 8 C
• not defined D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

f(x) = x is

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

• 2 A
• 
  B
• 
  C
• 0 D

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Graph of the question x²+ y²= 4 is

• A circle A
• An ellipse B
• A parabola C
• A square D

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

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

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

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