Each of the vegetables have different cooking times so make sure you cook each type separately.
Add the mushrooms to the batter and toss until coated. Then add to the hot oil and cook for 1 minute.
After a minute, remove from oil and add to a paper towel-lined plate to absorb the oil.
Add the eggplant slices to the batter and toss until coated. Then add to the hot oil and cook for one and a half minutes.
After a minute, remove from oil and add to a paper towel-lined plate to absorb the oil.
Add the asparagus to the batter and toss until coated. Then add to the hot oil and cook for two minutes.
After a minute, remove from oil and add to a paper towel-lined plate to absorb the oil.
Add the sweet potato slices to the batter and toss until coated. Then add to the hot oil and cook for three minutes. Flip half way through.
After a minute, remove from oil and add to a paper towel-lined plate to absorb the oil.
Serve with tempura dipping sauce (tentsuyu).