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

xy= 2 is:

• a constant function A
• an identity function B
• an improper function C
• implicit function 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

• 0 A
• 1 B
• 
  C
• -1 D

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

• 0 A
• 1 B
• 1/2 C
• 
  D

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

The domain of y =√(x^2-9) is

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

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

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

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

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

The domain of f(x) = log x is

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

The set of points {(x,y)|y = f(x),∀x∈} is called

• Relation A
• Graph of f B
• Function C
• All are correct D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

• 2 A
• -1 B
• 8 C
• not defined D

• 2 A
• 
  B
• -2 C
• none of these D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

The function f(x) =|x| is a/an_______function

• Even A
• Odd B
• Both even as well as odd C
• Neither even nor odd D

The domain of y = cos-1 x is

• -∞ < x < ∞ A
• -1≤ x≤ 1 B
• x≤ -1 or x ≥ 1 C
• None of these D

• 1 A
• 0 B
• -2 C
• 3 D

• f(x) = x² A
• f(x²) = x B
• f(x) = x C
• none of these D

• 0 A
• 1 B
• 
  C
• -1 D

A function in which the variable appears as exponent is called:

• An identity function A
• A logarithmic function B
• an exponential function C
• A rational function D

• sin h x A
• cos h x B
• tan h x C
• cot h x 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 f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

A rule that assigns to each elements x in X a unique element y in Y is called a ____________

• domain A
• range B
• function 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

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

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

• 0 A
• 1 B
• 2 C
• 1/2 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

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