Answer
A reasonable domain is $\quad 0\leq d\leq 35,800$
A reasonable range is $\quad 1\leq P(d)\leq 1075$
Work Step by Step
The function $P(d)$ was defined as
$P(d)=1+0.03d$
During the dive, the Trieste was initially at depth 0, and descended down to d=35,800.
On the way down, d assumed all the values in between these two values.
A reasonable domain is $0\leq d\leq 35,800$
The value of P(d) rises as the depth d gets greater.
The least value for P(d) is when d=0, that is, $P(0)=1$ .
The greatest value is at the depth of $35,800$.
$P(35,800)=1+0.3(35,800)=1075$
A reasonable range is $1\leq P(d)\leq 1075$