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

If f(x) = -x²then f(-2) is

• -2 A
• 2 B
• -4 C
• 4 D

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

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

The domain the function : f(x) = x² is given by

• R A
• Set of all non-negative Real numbers B
• R^-1 C
• None of these D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

An even function is symmetric about the line

• y = x A
• x = 0 B
• y = -x C
• y = 0 D

• 0 A
• 1 B
• -1 C
• none of these D

f(x) = x³is:

• an odd function A
• an even function B
• an implicit function C
• a quadratic funtion D

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

• x is function of y A
• y is a function of x B
• y is independent variable C
• x is real valued function D

• 
  A
• 
  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 only function which is both even and odd is

• f(x) =α A
• f(x) = x B
• f(x) =0 C
• Both A & B D

• R/[0,4] A
• R/(0,4) B
• (0,4) C
• [0,4] D

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

• 0 A
• 1 B
• 1/2 C

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

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

• 2 A
• -1 B
• 8 C
• not defined 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

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

______________ 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

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

f(x) = sin x is:

• an odd function A
• an even function B
• an implicit function C
• an exponential function D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

• 2 A
• 1 B
• 5 C
• 0 D

Domain of y = scs x is

• All real numbers except π/2 + n*π A
• R B
• All negative integers C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x³- 2x²+ 4x -1 then f(2) is

• 7 A
• -16 B
• 16 C
• -9 D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

• 0 A
• 1 B
• -1 C
• none of these D