So we're gonna look at this closed interval. And the intermediate value theorem tells us that look, if we're continuous over that closed interval, our function f is going to take on every value between f of four, f of four, which in this case, so this is f of four is equal to three, and f of six, and f of six, which is equal to seven. F of six, which is equal to seven. And so if someone said, hey, is there going to be a solution to f of x is equal to, say, five over this interval? Yes, over this interval for some x, you're going to have f of x being equal to five. But they're not asking us for an f of x equaling something between these two values. They're asking us for an f of x equaling zero.