Pregnancy. For Exercises 87–90 , use the following graph of a woman’s “stress test.” This graph shows the size of a pregnant woman’s contractions as a function of time. Pregnancy. For Exercises 87–90, use the following graph of a woman’s “stress test.” This graph shows the size of a pregnant woman’s contractions as a function of time. The greatest integer function f ( x ) = 〚 x 〛 is defined as follows: 〚 x 〛 is the greatest integer that is less than or equal to x . For example, if x = 3.74 x=3.74, then 〚 x 〛 = 3 ; and if x = − 0.98 , then 〚 x 〛 = − 1 . Graph the greatest integer function for − 5 ≤ x ≤ 5 . (The notation f ( x ) = INT ( x ) is used by many graphing calculators and computers.)
Pregnancy. For Exercises 87–90 , use the following graph of a woman’s “stress test.” This graph shows the size of a pregnant woman’s contractions as a function of time. Pregnancy. For Exercises 87–90, use the following graph of a woman’s “stress test.” This graph shows the size of a pregnant woman’s contractions as a function of time. The greatest integer function f ( x ) = 〚 x 〛 is defined as follows: 〚 x 〛 is the greatest integer that is less than or equal to x . For example, if x = 3.74 x=3.74, then 〚 x 〛 = 3 ; and if x = − 0.98 , then 〚 x 〛 = − 1 . Graph the greatest integer function for − 5 ≤ x ≤ 5 . (The notation f ( x ) = INT ( x ) is used by many graphing calculators and computers.)
Solution Summary: The author explains that the graph of the greatest integer function f=x is not continuous at integers.
Pregnancy.ForExercises 87–90, use the following graph of a woman’s “stress test.” This graph shows the size of a pregnant woman’s contractions as a function of time. Pregnancy. For Exercises 87–90, use the following graph of a woman’s “stress test.” This graph shows the size of a pregnant woman’s contractions as a function of time.
The greatest integer function
f
(
x
)
=
〚
x
〛
is defined as follows:
〚
x
〛
is the greatest integer that is less than or equal to x. For example, if
x
=
3.74
x=3.74, then
〚
x
〛
=
3
; and if
x
=
−
0.98
, then
〚
x
〛
=
−
1
. Graph the greatest integer function for
−
5
≤
x
≤
5
. (The notation
f
(
x
)
=
INT
(
x
)
is used by many graphing calculators and computers.)
For each graph in Exercises 61–72, find a function whosegraph looks like the one shown. When you are finished, usea graphing utility to check that your function f has the properties and features of the given graph.
In Exercises 1–6, find the domain and range of each function
In Exercises 5–12, find and sketch the domain for each function
Chapter 7 Solutions
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
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