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

If f(x)= x³ then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

• 0 A
• -4 B
• 
  C
• none of these 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) = x³- 2x²+ 4x -1 then f(0) is

• 0 A
• 1 B
• -1 C
• none of these D

• 0 A
• 1 B
• -1 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = (-x)²then f(-2) is

• 0 A
• 2 B
• -4 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

• Periodic A
• Surjective B
• Bijective C
• Injective D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

The curve f(x,y) = 0 has a central symmetry if

• f(-x,-y)=f(x,y) A
• f(x,-y)=f(x,y) B
• f(-x,y)=f(x,y) C
• f(-x,-y)≠f(x,y) D

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

xy= 2 is:

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

• I & III A
• I & IV B
• II & IV C
• II & III D

• [0,1[ A
• [0, 1] B
• ]0, 1[ C
• None of these 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

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

• 2 A
• -1 B
• 8 C
• not defined D

Graph of the question x²+ y²= 4 is

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

f(x) = x is

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

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

• 0 A
• -25 B
• 5 C
• 45 D

• 0 A
• 1 B
• 8 C
• ∞ D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

For f(x) = x² + px +1, if f(3) = 3 then P =

• 3/7 A
• -2/5 B
• -7/5 C
• -7/3 D