Examples of Flexibility Exercises. A woman is doing stretches in the grass. Photo Credit TongRo Images/TongRo Images/Getty Images. Flexibility refers to the range of motion in a muscle or joint that can help you improve movement and athletic performance.Different types of stretching exercises produce various results in how you move and perform. Some types relax your mind and body while others prepare you for movement.hoto Credit TongRo Images/TongRo Images/Getty Images. Flexibility refers to the range of motion in a muscle or joint that can help you improve movement and athletic performance. Different types of stretching exercises produce various results in how you move and perform.