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

• 
  A
• 
  B
• 
  C
• 
  D

Express the perimeter P of square as a function of its area A?

• P = 4√A A
• P =√A B
• P = 2A C
• P =π√A D

• x = f(y) A
• y = f(x) B
• x = f(x) C
• y = f(y) D

• 0 A
• 1 B
• 
  C
• none of these D

If x is an image of y under the function f. This can be written as

• y = f(x) A
• f(x) = 0 B
• x = f(y) C
• f(y) =0 D

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D

• -1 A
• 1 B
• 2 C
• -2 D

• 1 A
• 0 B
• -2 C
• 3 D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

• {3,2,5} A
• {1,3,9} B
• {-1,-2,-3} C
• {3,9,19} D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

If f(x) = x²then f(-2) is

• -2 A
• 2 B
• 4 C
• -4 D

• 0 A
• 1 B
• 
  C
• -1 D

• 0 A
• 3 B
• 9 C
• -3 D

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

• 0 A
• 1 B
• 1/2 C

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

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)

• Leibniz A
• Newton B
• Euler 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

f(x) = sin x + cos²x is

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

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

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

The range of inequality x + 2 > 4 is

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

f(x) = 3x/x² + 1 is:

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

• 0 A
• 1 B
• -1 C
• none of these D

The trigonometric function are continuous whenever

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

Which is an explicit function

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

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 D