Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.1: Simplifying Fractions
Problem 33WE
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Question
Answer the following from the picture below:
● Domain and Range
● End Behavior
● Describe any discontinuity by explaining where it is and what type it is.
● Intervals of increasing and decreasing (to nearest .5 is sufficient)
● Domain and Range
● End Behavior
● Describe any discontinuity by explaining where it is and what type it is.
● Intervals of increasing and decreasing (to nearest .5 is sufficient)
Transcribed Image Text:y= {0sxs1}
10
y = {-2sx<0}
x - 4
-5
56
y =
-{25x54}
y =
- {6<x59}
-20
-15
-10
-5
V6x – 36
10
-5
Expert Solution
Step 1
1/x
1)Domain :(0,1]
Range:[1, infinity)
2) end behaviour: not possible since it is not polynomial
3) discontinuity of function at 0
4)
intervals of increase
∅
intervals of decrease
(0,1)
ii)1/(x^2-4)
1)domain
(−2,0)
range
(−∞,−14)=(−∞,−0.25)
2)end behaviour: not possible since it is not polynomial
3)
discontinuity of function at x=-2,2
4)
intervals of increase
(−2,0) U(−2,0)
intervals of decrease
∅
iii)56/(x^3-8)
1)
DOMAIN
(2,4]
range
[1,∞)
2)End behavior:
The function entered is not a polynomial
3)Discontunity of function:2,-2
4)intervals of increase
∅
intervals of decrease
(2,4)
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