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

Let f(x) = x², then range of f is the set of all:

• Real numbers A
• Non-negative real numbers B
• Non-negative integers C
• Complex numbers D

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

• 0 A
• 2 B
• 1 C
• 3 D

• 0 A
• 1 B
• e C
• Does not exist 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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

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

The term function was introduced by:

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

If y = (x), then the variable x is called --------- variable of a function f.

• Dependent A
• Independent B
• Image of y C
• None of these D

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

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

The range of the function f(x) = |x|

• 
  A
• 
  B
• 
  C
• 
  D

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

• Parabola A
• Hyperbola B
• Ellipse C
• Circle 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