From this data: Answer the following questions below at each of the given values
ID: 2828845 • Letter: F
Question
From this data: Answer the following questions below at each of the given values 1, 3, 4, 5, 7, 8. If the answer in (a) is yes to a given value answer all the questions. If the answer to (a) is no for a value, skip to (d).
4/5-x if x<1
f(x)= x-3/x-3 if 1<x<4
2x+1 if 4? x ? 7
15/8-x if x>7
(a) Is f discontinuous at the given values?
(b) is f continuous only from the left at the given value?
(c) is f continuous only from the right at the given value?
(d) is the discontinuity removable?
*Please place the value numbers to these questions! I have no clue what I am doing! Also a short explanation would be helpful so that I am learning something! Thanks in advance!
Explanation / Answer
(a). f(1)= (function is not defined for x=1)
f(3)= -1
f(4)= 9
f(5)= 11
f(7)= 15
f(8)= -49/8
(d). Lim x--> 1-
f(1-)= 4/5 -1 = -1/5
Lim x--> 1+
f(1+)= 1- 3/1 -3 = -5
Since, f(1-) is not equal to f(1+),
Therefore, the discountivity is not removable.
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