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

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

The period sin²θis

• π² A
• π B
• 2π C
• π/2 D

sec h x = ________

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²-x then f(1) is

• 0 A
• 1 B
• 2 C
• 3 D

• -1 A
• 1 B
• 2 C
• -2 D

A function from X to X is denoted as

• 
  A
• f : X to Y B
• 
  C
• f : Y to Y D

f(x) = 2x²+ 3x + 5 is a

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

Point (2,0) lies on trigonometric function f(x)=______;

• sinx A
• cosx B
• tanx C
• secx D

If f(x) = x²- x then f(-2) is

• 4 A
• 6 B
• 2 C
• 0 D

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

• 0 A
• 1 B
• -1 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

• 
  A
• 
  B
• 
  C
• 
  D

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

The set of points {(x,y)|y = f(x),∀x∈} is called

• Relation A
• Graph of f B
• Function C
• All are correct D

f(x) = 1 is

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

The domain and range of a trigonometric function can be allocate by their

• graph A
• Continuity B
• Discontinuity C
• Periods D

f(x) = ax + b will be a constant function if

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

Which is not included in the domain of cos^-1x

• 0 A
• 1 B
• -1 C
• 2 D

If f(x) = x²then f(0) is

• 0 A
• 1 B
• 2 C
• none of these D

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

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

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

• 
  A
• 
  B
• 
  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

• 2 A
• 4 B
• 8 C
• 12 D

• 
  A
• 
  B
• 
  C
• 
  D

If f(x) = x²-x then f(0) is

• 0 A
• 1 B
• 2 C
• 3 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