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.
2/3* 3 is 2 so the answer is x=2
Answer:
Step-by-step explanation:
f(4) = 4-7 = -3
g(-3) = (-3)^2 = 9