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

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

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

• Complex A
• Rational B
• Real C
• None of these D

Let f(x) = x³ + sin x, then f(x) is:

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

x² + y² = 4 is:

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

x = 3 cos t, y = 3 sin t represent

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

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

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

• Constant A
• Implicit B
• Identity C
• Inverse 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

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

f (x) = x secx, then f(0)=

• -1 A
• 0 B
• 1 C
• 
  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

A function, in which the variable appears as exponent (power), is called a / an -------- function.

• Constant A
• Explicit B
• Exponential C
• Inverse 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

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

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

The term function was introduced by:

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

• Undefined A
• 3a² B
• a² C
• 0 D

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

• Line A
• Circle B
• Parabola C
• Ellipse 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