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

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

• 
  A
• 
  B
• 
  C
• 
  D

• R A
• R - {2} B
• R - {2, -2} C
• R - {-2} D

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

• 
  A
• 
  B
• 
  C
• 
  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

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

• Independent variable A
• Not function B
• Function C
• None of these D

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

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

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

• 0 A
• 1 B
• e C
• Does not exist D

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

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

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

• 4 A
• Does not exist B
• 
  C
• 
  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

x² + y² = 4 is:

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

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

• 0 A
• 2 B
• 1 C
• 3 D

• Implicit A
• Explicit B
• Exponential C
• Logarithmic 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