We have a linear function.
In linear function we have a domain and range of ALL real numbers. So the domain and range is equal to:
[tex](\text{ -}\infty,\infty)[/tex]
The x-intercept is when y is 0
[tex]\begin{gathered} 0=2x+7 \\ \text{ -}7=2x \\ x=\text{ -}\frac{7}{2} \end{gathered}[/tex]
And the y-intercept when x is 0
[tex]\begin{gathered} f(x)=2(0)+7 \\ f(x)=7 \end{gathered}[/tex]
Anyway, the graph is the following:
See that the x axis and the y axis are infinite, they will never end
