Question

What is the domain of the function f(x) = x2 + 3x + 5

Answer 1

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.

Answer 2

Answer:

The domain is all real numbers

Step-by-step explanation:

we have

$f(x) = x^{2}+ 3x + 5$

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 $(-1.5,2.75)$

The range is the interval-------> [2.75.∞)

$y\geq2.75$ -------> All real numbers greater than or equal to $2.75$

The domain is the interval -------> (-∞,∞) -----> All real numbers