Ecology is the study of cells and their functions.

That is false. Ecology is the study of relations of organisms to one another and to their physical surroundings. Cell biology is the study of cells and their functions.

The study of "cells with their functions" are not Ecology. It is called Cell Biology.

Explanation:

Cell Biology studies and researches on the different functions and structures of the cell and centers around the idea of cell being the basic unit of life.

Meanwhile, Ecology is a "branch in Biology" that deals and studies about the interconnection between the organisms living and their environment, which incorporated both abiotic components and biotic components. Biomass, distribution, biodiversity, competition, population of organisms, etc. are all included under Ecology.