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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

If the degree of a polynomial function is ------------, then it is called a linear function:

• 0 A
• 1 B
• 2 C
• 3 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 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 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
• 1 B
• e C
• Does not exist D

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

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

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

• -1 A
• 0 B
• 1 C
• 
  D

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

Inverse hyperbolic functions are expressed in terms of natural:

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

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

• Constant A
• Explicit B
• Implicit 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

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

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

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

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

x² + y² = 4 is:

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

tanh x =

• 
  A
• 
  B
• 
  C
• 
  D

Cosh² x - Sinh² x =

• 1 A
• -1 B
• 2 C
• -2 D

• 1 A
• 2 B
• 3 C
• 4 D