Step 1: Find the longest chain:
Counting carbons from the methyl on the amine carbon through the double bond to the far methyl gives five carbons, so the parent is pentene with an amine suffix.
Step 2: Number it:
Two directions are possible. From the amine end, $-\text{NH}_2$ is at C2 and the double bond between C3 and C4. From the other end, $-\text{NH}_2$ would be at C4. The principal group must get the lowest number, so we go with C2.
Step 3: Name it:
Double bond locant is 3, amine locant is 2: pent-3-en-2-amine.
Final Answer:
The IUPAC name is pent-3-en-2-amine, option (B).
\[ \boxed{\text{Pent-3-en-2-amine (B)}} \]
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