Question

Find the domain for f(x)=x^2+3x+2

Answer 1

all real numbers: -∞ < x < ∞

Explanation:

Any polynomial function is defined for all real numbers. This one is, too.

The domain is ...

-∞ < x < ∞

_____

Additional comment

Polynomial functions are often used to model things in the real world. One common application is the use of a quadratic function to model ballistic motion (height versus time). Such functions are defined for all values of the independent variable (time), but only have practical application over a smaller domain (time and height ≥ 0). Any question of domain might need to consider the practical domain, where the function is useful.