Question

Graph the following function then provide the domain and range using set notation. Show at least 4 "steps". I have plotted the graph correctly, I used random numbers as x to solve for why then plotted those points....I know the Domain is -infinity to infinity and same with the range....but I dont know how to put -infinity to infinity into set notation. Please help and thank you.

Answer 1

Given:

The given function is,

`y=\lbrack(1)/(2)x\rbrack+1`

The objective is to plot the graph and find the domain and range in set notation.

Step-by-step explanation:

FIrst, the graph fo the function will be,

To find domain:

Domain represents the interval of the graph from negative x-axis to positive x-axis.

It can be observed from the graph that domain of the function lies in the interval of all real numbers as,

`D(-\infty,+\infty),\mleft\lbrace x│x\epsilon\R\mright\rbrace`

To find range:

Range represents the interval of the graph from negative y-axis to positive y-axis.

It can be observed from the graph that the range o the function lies in the interval of all real numbers as,

`R(-\infty,+\infty),\lbrace y│y\epsilon\R\rbrace`

Hence,

The domain of the function is D {x│x∈ℝ}.

The range of te function is R {y│y∈ℝ}.