Carotenoids are a class of plant pigments that give fruits and vegetables their red, orange, and yellow colors. Some carotenoids, like \(\beta\)-carotene, \(\beta\)-cryptoxanthin, and \(\alpha\)-carotene, have pro-vitamin A activity, meaning they can be converted into vitamin A (retinol) in the body. This is crucial for maintaining healthy vision, skin, and immune function. However, lycopene (option C) is a carotenoid that does not have pro-vitamin A activity. Lycopene is found in tomatoes, watermelon, and other red or pink fruits, and while it is a powerful antioxidant, it cannot be converted into vitamin A.
In contrast, \(\beta\)-carotene (option A), \(\beta\)-cryptoxanthin (option B), and \(\alpha\)-carotene (option D) are all carotenoids with pro-vitamin A activity. These carotenoids play an important role in the body's ability to produce vitamin A, which is essential for good eyesight, skin health, and immune system function.
Thus, the correct answer is (C) Lycopene.