mathemerize

Square Function – Graph, Definition, Domain and Range

Here you will learn what is square function with definition, graph, domain and range. Let’s begin – Square Function The function that associates a real number x to its square i.e. \(x^2\) is called square function. Since \(x^2\) is defined for all x \(\in\) R. So, we defined the square function as follows : Definition …

Square Function – Graph, Definition, Domain and Range Read More »

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 …

Reciprocal Function – Graph, Definition, Domain and Range Read More »

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 …

Logarithmic Function – Graph, Definition, Domain and Range Read More »

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 …

Exponential Function – Graph, Formula, Domain and Range Read More »

Fractional Part Function – Graph, Domain and Range

Here you will learn definition, graph, domain and range of fractional part function. Let’s begin – Fractional Part Function Definition : For any real number x, we use the symbol {x} to denote fractional part or decimal part of x. For example, {3.45} = 0.45, {-2.75} = 0.25, {-0.55} = 0.45, {3} = 0, {-7} …

Fractional Part Function – Graph, Domain and Range Read More »

Smallest Integer Function (Ceiling Function) – Graph, Domain and Range

Here you will learn what is smallest integer function definition, graph and its domain and range with examples. Let’s begin – Smallest Integer Function (Ceiling Function) Definition : For any real number x, we use the symbol \(\lceil x \rceil\) to denote the smallest integer greater than or equal to x. For example, \(\lceil 4.7 …

Smallest Integer Function (Ceiling Function) – Graph, Domain and Range Read More »

Ezoicreport this ad