The domain is the set of possible values for our variable(in this case x). As you can see in the graph, this function goes from x = -10 to x = 25(but it doesn't include x = 25).
The range of a function is the set of possible values for the function. In this graph, our range goes from f(x) = -200 to f(x) = 500, but it doesn't include f(x) = -200.
The function with a value of 0, is the x-intercept(where the graph intercepts the x-axis). In this graph, the x-intercept happens at x = 15.