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

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

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

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

The domain of f(x) = log x is

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

• One-one but not onto A
• One-one and onto B
• Onto but not one-one C
• Neither one-one nor onto D

• 
  A
• 
  B
• 
  C
• 
  D

A function of the form p(x)/Q(x) is called:

• Rational function A
• Logarithmic function B
• Exponential function C
• Hyperbolic function D

f(x) = 2x²+ 3x + 5 is a

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

• 
  A
• 
  B
• 
  C
• 
  D

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

If f(x) = -x³then f(-2) is

• -2 A
• -4 B
• -8 C
• 8 D

x = secθ,y = tanθ are the parametric equations of

• Circle A
• Hyperbola B
• Ellipse C
• parabola D

The domain of the function x/x² -4 is given by

• R A
• R + 2 B
• [R - (+2) C
• R-4 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

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

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

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

• -1 A
• 1 B
• 2 C
• -2 D

The period sin²θis

• π² A
• π B
• 2π C
• π/2 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

• 0 A
• 1 B
• 
  C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  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

In natural logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) D

An even function is symmetric about the line

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

• 
  A
• 
  B
• 
  C
• 
  D

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

f(x) = log x + 3 is a

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