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

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

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

• 0 A
• 2 B
• 1 C
• 3 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

cosh^-1x =

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Which one is a constant function ?

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

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

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

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

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

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

• 0 A
• 1 B
• e C
• Does not exist D

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

• Constant A
• Explicit B
• Exponential C
• Logarithmic 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

x² + y² = 4 is:

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

Cosh² x + Sinh² x =

• Cosh x² A
• Cosh 2x B
• Sinh 2x C
• Tanh 2x D

Let f(x) = cos x, then f(x) is an:

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