In Exercises 25-34, begin by graphing f ( x ) = 2 x . Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a | graphing utility to confirm your hand-drawn graphs. g ( x ) = 2 r 2
In Exercises 25-34, begin by graphing f ( x ) = 2 x . Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a | graphing utility to confirm your hand-drawn graphs. g ( x ) = 2 r 2
Solution Summary: The author analyzes the function g(x)=2x-2 and its asymptotes.
In Exercises 25-34, begin by graphing
f
(
x
)
=
2
x
. Then use transformations of this graph to graph the given function. Be sure to graph and give equations of the asymptotes. Use the graphs to determine each function's domain and range. If applicable, use a | graphing utility to confirm your hand-drawn graphs.
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
(ii)
M-N is convex or hot
A
and is MSN or NSM show that
MUN convex or not,
385
I write with prove one-to-one linear
Sanction but not onto Lexample.)
b) write with Prove on to linear function
but not oh-to-on (example).
c) write with prove example x=y
St Xandy two linear space over
Sielad F.
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