# What is the domain and range of d(s)= 0.04s^2?

Aug 8, 2015

Assuming we are restricted to Real numbers ($\mathbb{R}$)
the domain is all of $\mathbb{R}$ and
the range is all of $\mathbb{R}$ which is $\ge 0$

#### Explanation:

$d \left(s\right) = 0.04 {s}^{2}$
$\textcolor{w h i t e}{\text{XXXX}}$is valid for all Real values of $x$

Since (for all Real values of $x$) ${x}^{2}$ is $\ge 0$
$\textcolor{w h i t e}{\text{XXXX}}$the range of $d \left(s\right)$ is all Real values $\ge 0$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$(Note that the constant multiplier $0.04$ is irrelevant to determining the domain or range)