Second Year Mathematics Chapter 1 Online MCQ Test Functions and Limits Preparation

f (x) = x secx, then f(0)=

• -1 A
• 0 B
• 1 C
• 
  D

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

• Constant A
• Explicit B
• Implicit C
• Inverse D

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

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

• f(x² + 1) A
• f(x) B
• 
  C
• f(x²) D

• Even A
• Odd B
• One-one C
• Zero D

• 0 A
• 1 B
• e C
• Does not exist D

Cosh² x + Sinh² x =

• Cosh x² A
• Cosh 2x B
• Sinh 2x C
• Tanh 2x D

• 
  A
• 
  B
• 
  C
• 
  D

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain C
• None of these D

Parametric equations x = a cos t, y = a sin t represent the equation of:

• Line A
• Circle B
• Parabola C
• Ellipse D

The linear function f(x) = ax + b is an identity function if:

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

• Continuous at x = 1 A
• Not continuous at x = 1 B
• Both a and b C
• none D

• Line A
• Parabola B
• Ellipse C
• Hybperbola D

x = 3 cos t, y = 3 sin t represent

• Line A
• Circle B
• Parabola C
• Hyperbola D

Let f(x) = x³ + sin x, then f(x) is:

• Even function A
• Odd function B
• Power function C
• None of these D

If the degree of a polynomial function is ------------, then it is called a linear function:

• 0 A
• 1 B
• 2 C
• 3 D

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

• Independent variable A
• Not function B
• Function C
• None of these D

If y is an image of x under the function f, we denote it by:

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

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

• Constant A
• Implicit B
• Identity C
• Inverse D