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

x² + y² = 4 is:

• Function A
• Not a function B
• Ellipse C
• Line 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

• Even A
• Odd B
• One-one C
• Zero D

The term function was introduced by:

• Euler A
• Newton B
• Lagrange C
• Leibniz D

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

• Euler A
• Cauchy B
• Leibniz C
• Newton D

• 
  A
• 
  B
• 
  C
• 
  D

f(x) = sin x + cos x is ------------ function:

• Even A
• Odd B
• Composite C
• Neither even nor odd function D

• 0 A
• 1 B
• e C
• Does not exist D

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

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

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

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

• Complex A
• Rational B
• Real C
• None of these D

Inverse hyperbolic functions are expressed in terms of natural:

• Numbers A
• Exponential B
• Logarithms C
• Sines D

Which one is an identity function ?

• 
  A
• f(x) = g(x) B
• f (x) = x C
• f(x) = 1 D

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

• 0 A
• 1 B
• 2 C
• 3 D

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

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

A function, in which the variable appears as exponent (power), is called a / an -------- function.

• Constant A
• Explicit B
• Exponential C
• Inverse 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

If f(x) = |x|, f(x) is a:

• Constant function A
• Absolute function B
• Linear function C
• Quadratic function D

• Common logarithmic A
• Natural logarthmic B
• Exponential C
• None of these D