and the total is 307.222222
To check for continuity at the edges of each piece, you need to consider the limit as approaches the edges. For example,
has two pieces, and , both of which are continuous by themselves on the provided intervals. In order for to be continuous everywhere, we need to have
By definition of , we have , and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
The pair of angles are adjacent angles and supplementary and their measure =180
Step-by-step explanation:
304
plug 4 in for x
3(4)^2 + 4(4)^3 = 304
48 + 256 = 304