Identify the domain of the function shown in the graph.

A function [tex]f[/tex] from a set [tex]A[/tex] to a set [tex]B[/tex] is a relation that assigns to each element [tex]x[/tex] in the set [tex]A[/tex] exactly one element [tex]y[/tex] in the set [tex]B[/tex]. The set [tex]A[/tex] is the domain (also called the set of inputs) of the function and the set [tex]B[/tex] contains the range (also called the set of outputs).

As you can see from the graph [tex]x[/tex] is valid for all real numbers. This is true because this function is continuous. Another characteristic of this function is that it is periodic.

AkhileshT AkhileshT · Answer 2 · 2019-09-03T07:58:02+02:00

The correct option for the problem is [tex]\fbox{\begin\\\ \bf option (a)\\\end{minispace}}[/tex].

Further explanation:

Concept used:

Domain of the function is defined as the set of all the values for which the function is defined.

Periodic function is a function which repeat it's value after certain time of interval. Some of the example is sine function, cosine function,

Calculation:

It is observed form the given graph that the function repeats its value after certain interval of time and this clarified that the graph of the function is periodic.

It is also observed from the given graph that the function is continuous.

It is obtained that the given graph of the function is periodic and also a continuous function.

It means that the function is defined for all the real values of [tex]x[/tex].

Therefore it is valid for all the real values of [tex]x[/tex].

Thus, the correct option for the problem is [tex]\fbox{\begin\\\ \bf option (a)\\\end{minispace}}[/tex].

Learn more:

1. Domain and range of the function https://brainly.com/question/3412497

2. Graph of the function https://brainly.com/question/7437053

Answer details:

Grade: High school.

Subject: Mathematics

Chapter: Function

Keywords: Function, domain, range, real values, graph, and periodic function, continuous function, definition, all the values of x, (a) x is all real number.