Preheat a 5- or 6-quart air fryer to 400°F for 3 minutes.

Halve the new potatoes.

Trim and scrub the unpeeled carrots; cut any larger carrots in half lengthways.

Separate the unpeeled garlic into cloves.

Place the potatoes, carrots, and garlic in a large bowl with the remaining ingredients.

Season with salt and pepper, and toss everything to combine.

Carefully pull out the air-fryer pan and basket.

Place the seasoned vegetables in the basket.

Slide the pan and basket back into the appliance.

Keep the temperature set at 400°F and set the timer for 20 minutes.

Turn the vegetables halfway through the cooking time to ensure they cook evenly and become golden and tender.