continuous and Discontiuous funciton bb 44 D

Fx 43 and 44 mainly focused on 44 d:

Using fx 43 we fill in the table. When you graph the table this is what it looks like(look below)
(this is a continuous function)
44D asks if the table graphs into a discrete or continuous function. You can tell this is a continuous function because the points connect and is a polynomial function and all polynomial functions are continues. In problem c the exponent becomes more and more negative, x goes from -1 to negative 4 or gets smaller and smaller. The value of y gets smaller and smaller and closer to 0. When the input changes the output also changes in a like manner. That is another way you can tell it is a continuous function.