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

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

• 0 A
• 1 B
• 2 C
• 3 D

• 0 A
• 1 B
• e C
• Does not exist D

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

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

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

Let f(x) = x², real valued function then domain of f is the set of all:

• Real numbers A
• Integers B
• Positive numbers C
• Natural numbers D

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

x² + y² = 4 is:

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

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

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

Inverse hyperbolic functions are expressed in terms of natural:

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

f(x) is odd function. If and only if:

• f(-x) = -f(x) A
• f(-x) = f(x) B
• f(x) = 3f(-x) C
• f(x) = -3f(-x) 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

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

The area A of a circle as a function of its circumference C is:

• 
  A
• 
  B
• 
  C
• 
  D

• 4, -4 A
• 0 B
• 2, -2 C
• 0, 4 D

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