12th class Mathematics chapter 1 online mcq test with answers for Fa part 2 Mathematics Chapter 1 (Functions and Limits)

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

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

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

• Undefined A
• 3a² B
• a² C
• 0 D

x² + y² = 4 is:

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

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

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

Which one is an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  D

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

Every relation, which can be represented by a linear equation in two variables, represents a:

• Graph A
• Function B
• Cartesian product C
• Relation D

The term function was introduced by:

• Euler A
• Newton B
• Lagrange C
• Leibniz 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

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

Inverse hyperbolic functions are expressed in terms of natural:

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

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

• -1 A
• 0 B
• 1 C
• 
  D

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

If a function f is from a set X to a set Y, then set X is called the _______ of f:

• Domain A
• Range B
• Co-domain C
• None of these 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

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