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

If the function y=2x -3, what is the preimage of 11?

• 11 A
• 7 B
• 5 C
• 2 D

• 0 A
• 1 B
• 2 C
• 
  D

The range of the function f : x→ y is defined by

• {x| y = f (x) ∀x∈ X ∧y∈y} A
• {(x,y) |y = f (x)∀x∈ X} B
• {y|y = f (x) ∀x∈ X ∧y∈y} C
• Y D

• 
  A
• 
  B
• 
  C
• 
  D

Composition of functions is

• Non-commutative (fg ≠ gf) A
• non-associative [8(fh) ≠(8f)h] B
• Commutative (fg = gf) C
• f of-1≠ 1 D

• 0 A
• 1 B
• 1/2 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

• 
  A
• 
  B
• 
  C
• 
  D

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] 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) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct D

• 2 A
• 1 B
• 5 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 2 C
• 1/2 D

The area of circle of unit radius =

• 0 A
• 1 B
• 4 C
• π D

• 
  A
• 
  B
• 
  C
• 
  D

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

• R A
• (-∞,0] B
• (-∞,1] C
• [0,∞) D

The trigonometric function are continuous whenever

• They are defined A
• their limit exist B
• Their period is given C
• All are incorrect D

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 D

• 2 A
• 6 B
• 
  C
• 
  D

Which is an explicit function

• y = x²+ 2x - 1 A
• x²+ xy + y²= 2 B
• x²+ y²= xy + 2 C
• All are D

The range of inequality x + 2 > 4 is

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

Graph of the question x²+ y²= 4 is

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

The periods of the function f(x) = x[x] is

• 1 A
• 2 B
• Non periodic C
• None of these D

If f(x) = x³- 2x²+ 4x -1, then f(-2) = ?

• 0 A
• -25 B
• 5 C
• 45 D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• -2 B
• 1 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

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D