ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 17

f(x) = sin x + cos²x is

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

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

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

Sin h^-1x = _________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²- x then f(2) is

• 4 A
• 6 B
• 2 C
• 0 D

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

The largest possible domain of the function:

y=√(x ) is:

• (0 ,∞) A
• 12 B
• (3 , 12) C
• ( 3 ,∞) D

cos h² x + sin h² x

• 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 domain of f(x) = log x is

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

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

The behavior of trigonometric function is called

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

f(x) = sin x is:

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

In common logarithm the base is

• 1 A
• 0 B
• 10 C
• e D

If f(x) = x²then f(2) is

• -2 A
• 2 B
• 4 C
• -4 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

• 0 A
• -4 B
• 
  C
• none of these D

• 2 A
• 
  B
• -2 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = ax + b will be an identity function if

• a = 1 , b = 1 A
• a = 1 , b = 0 B
• 
  C
• 
  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

• Does not exist because f is unbounded A
• Is not attained even though f is bounded B
• Is equal to 1 C
• Is equal to -1 D

xy= 2 is:

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

• range of f A
• domain of f B
• both (a) and (b) C
• none of these D

• 2 A
• 1 B
• 5 C
• 0 D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

If f (x) is defined and continuous then f (x) is always

• Rational function A
• Trigonometric function B
• Logarithmic function C
• All are correct 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

Every relation, which can be represented by a linear equation in two variables, represents a

• Relation A
• Cartesian product B
• Function C
• Graph D