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

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

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 a constant function ?

• f(x) = x² A
• f(x) = x B
• f(x) = x + 1 C
• f(x) = 14 D

• sin x A
• cos x B
• sinh x C
• cosh x D

• Undefined A
• 3a² B
• a² C
• 0 D

• 1 A
• 2 B
• 3 C
• 4 D

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

Let f(x) = x³ + sin x, then f(x) is:

• Even function A
• Odd function B
• Power function C
• None of these 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 function, in which the variable appears as exponent (power), is called a / an -------- function.

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

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

• 0 A
• 1 B
• 2 C
• 3 D

Let f(x) = cos x, then f(x) is an:

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

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

• Even A
• Odd B
• One-one C
• Zero D

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

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

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

• 0 A
• 1 B
• e C
• Does not exist D

Which one is an identity function ?

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

x² + y² = 4 is:

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