Answer:
The domain is all real numbers
Step-by-step explanation:
we have
[tex]f(x) = x^{2}+ 3x + 5[/tex]
This is the equation of a vertical parabola open upward
The vertex is a minimum
Using a graphing tool
see the attached figure
The vertex is the point [tex](-1.5,2.75)[/tex]
The range is the interval-------> [2.75.∞)
[tex]y\geq2.75[/tex] -------> All real numbers greater than or equal to [tex]2.75[/tex]
The domain is the interval -------> (-∞,∞) -----> All real numbers
