# Function

## Square Root Function – Graph, Domain and Range

Here you will learn what is square root function with definition, graph, domain and range. Let’s begin – Square Root Function The function that associates a real number x to +$$\sqrt{x}$$ is called square root function. Since $$\sqrt{x}$$ is real for x $$ge$$ 0. So, we defined the square root function as follows : Definition …

## Reciprocal Function – Graph, Definition, Domain and Range

Here you will learn what is reciprocal function with definition, graph and domain and range. Let’s begin – Reciprocal Function The function that associates a real number x to its reciprocal $$1\over x$$ is called the reciprocal function. Since $$1\over x$$ is not defined for x = 0. So, we define reciprocal function as follows …

## Logarithmic Function – Graph, Definition, Domain and Range

Here you will learn what is logarithmic function graph, formula, domain and range. Let’s begin – Logarithmic Function Definition : If a > 0 and a $$\ne$$ 1, then the function defined by f(x) = $$log_a x$$, x > 0 is called the logarithmic function. We know that logarithmic function and the exponential function are …

## Exponential Function – Graph, Formula, Domain and Range

Here you will learn what is exponential function graph, formula, domain and range. Let’s begin – Exponential Function Formula Definition : If a is a positive real number other than unity, then a function that associates each x $$\in$$ R to $$a^x$$ is called the exponential function. In other words, a function f : R …

## Constant Function – Definition, Graph, Domain and Range

Here you will learn what is constant function with definition, graph and examples. Let’s begin – What is Constant Function ? Definition : If k is a fixed real number, then a function f(x) given by f(x) = k for all x $$\in$$ R is called a constant function. For Example, f(x) = 2 , …

## Equal Function in Maths – Definition and Examples

Here you will learn what is equal function in maths with definitions and examples. Let’s begin – Equal Function in Maths Definition : Two functions f and g are said to be equal iff (i) domain of f = domain of g (ii) co-domain of f = codomain of g. and (iii) f(x)  = g(x) …