Y=15 -4y
+4y +4y
5y=15
÷ ÷
5 5
y=3
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.
Answer:

Step-by-step explanation:
Answer:
y = -2x + 9
Step-by-step explanation:
y = -2x + 7
(4, 1)
1 = -2 ( 4 ) + b
1 = -8 + b
b = 9
y = -2x + 9
Answer: 3(3x−4) is the answer