Precalculus Concepts: Continuous vs. Discontinuous

A lion is walking around hunting for their prey. They walk in a wavy line for $24$ feet. All of a sudden, they jump $2$ feet and land on the ground again just in the right place to attack the prey. They walk another $4$ feet in a straight line then lay down. If the path of the lions footsteps on the ground was graphed or put into a function, which of the following could be the function and is it continuous?