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

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

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

Parametric equations x = a cos t, y = a sin t represent the equation of:

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

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

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

cosh^-1x =

• 
  A
• 
  B
• 
  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

Let f(x) = x³ + sin x, then f(x) is:

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

Inverse hyperbolic functions are expressed in terms of natural:

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

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

The term function was introduced by:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Which one is an identity function ?

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

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

• 1 A
• 2 B
• 3 C
• 4 D

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

• 0 A
• 1 B
• e C
• Does not exist D