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

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

• Circle A
• Hyperbola B
• Ellipse C
• parabola 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

If f (x) = 2x+1 then fof (x) = _______;

• 4x+3 A
• 2x +3 B
• 4x +1 C
• None of these D

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

• X to X A
• X to Y B
• Y to X 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

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

What is range of the function g (x) =|x-3|?

• [0 ,∞ ) A
• (0 ,∞) B
• (-∞ ,3] C
• [0,∞) D

A function f is said to be an even if f(-x) =

• 0 A
• 1 B
• f(x) C
• -f(x) D

• 1/8 A
• 1/2 B
• 1/4 C
• 1/6 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

The behavior of trigonometric function is called

• Continuity A
• Discontinuity B
• Periodicity C
• Smoothness D

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

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

Inverse of the function y-10x is

• y=logx A
• y=lnx B
• x=10y C
• x=10y 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

• 1 A
• 0 B
• -2 C
• 3 D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

The range of inequality x + 2 > 4 is

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

• 2 A
• -1 B
• 8 C
• not defined D

tan h x = _________

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Domain of cosh x is

• R A
• R -{0} B
• [1,∞) C
• [0,∞) 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

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

• 3/4 A
• r B
• v C
• None of these D

If y is an image of x under the function f, then we write

• y = f(x) A
• x = f(y) B
• y = x C
• none of these 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

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

• images A
• pre-images B
• constants C
• none of these 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