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. Zero isn't between f of four and f of six. And so we cannot use the intermediate value theorem here. And so if we wanted to write it out, we could say f is continuous, is continuous, but, but zero is not between, between f of four and f of six.