In Exercises 59–70, the domain of each piecewise function is (–∞, ∞). a. Graph each function. b. Use your graph to determine the function’s range. f ( x ) = { 3 if x ≤ − 1 − 3 if x > − 1
In Exercises 59–70, the domain of each piecewise function is (–∞, ∞). a. Graph each function. b. Use your graph to determine the function’s range. f ( x ) = { 3 if x ≤ − 1 − 3 if x > − 1
Solution Summary: The author explains how the graph of the function f(x) is plotted. Piecewise functions are known as step functions because their graph forms discontinuous steps.
In Exercises 59–70, the domain of each piecewise function is (–∞, ∞).
a.Graph each function.
b.Use your graph to determine the function’s range.
f
(
x
)
=
{
3
if
x
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1
−
3
if
x
>
−
1
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
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Things Quadratics! Part 1 X
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The table below shows the acreage, number of visitors, and total revenue of state parks and recreational areas in Massachusetts, New York, and Vermont in 2010.
State Acreage (in thousands) Visitors (in thousands) Revenue (in thousands)
Massachusetts 350 35,271 $12,644
New York 1,354 56,322 $85,558
Vermont 69 758 $10,969
Select the three true statements based on the data in the table.
A.
Vermont had the highest revenue per acre of state parks and recreational areas.
B.
Vermont had approximately 11 visitors per acre of state parks and recreational areas.
C.
New York had the highest number of visitors per acre of state parks and recreational areas.
D.
Massachusetts had approximately 36 visitors per acre of state parks and recreational areas.
E.
New York had revenue of approximately $63.19 per acre of state parks and recreational areas.
F.
Massachusetts had revenue of approximately $0.03 per acre of state parks and recreational areas.
a) show that the empty set and sigletonset
are convex set.
6) show that every sub space of linear space X
is convex but the convers heed not be true.
c) let Mand N be two convex set of
a linear Space X and KEF
Show that MUN is conevex and
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M-N is convex or hot
A
and is MSN or NSM show that
MUN convex or not,
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Chapter 2 Solutions
College Algebra, Books a la Carte Edition Plus NEW MyMathLab -- Access Card Package (6th Edition)
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