2nd Year Mathematics Chapter 1 Online MCQ Test for 12th Class Mathematics Unit 1 (Functions and Limits)

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

The function y = ln x is a/an -------------- function of x.

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  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

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

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

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

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

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

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

• Constant A
• Implicit B
• Identity 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

Let f(x) = x² + 3, then domain of f is:

• Set of all integers A
• Set of natural numbers B
• Set of real numbers C
• Set of rational numbers 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

Which one is a constant function ?

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

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

x² + y² = 4 is:

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

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

• 4, 6 A
• 2, 7 B
• 2, 3 C
• 2, 5 D

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

• Implicit A
• Explicit B
• Exponential C
• Logarithmic D