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egoodrich1337
The domain of the function is defined as x-values that result in valid y-values. In this case, the domain -∞ < x < ∞ satisfies the function because all real numbers in x result in a real y-value.
calculista

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


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