Let f(x)=2x and g(x)=2x.
Graph the functions on the same coordinate plane.
What are the solutions to the equation f(x)=g(x) ?
Enter your answers in the boxes.
ThePunisher2099:
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Answers
Answered by
0
these will be two coincident lines
so infinite solutions
so infinite solutions
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Answered by
2
x=-2 ,x=0
Step-by-step explanation:
the graph of
f
(
x
)
=
−
3
2
x
can be drawn using two points.
this could be
(
0
,
0
)
and
(
2
,
−
3
)
or
(
0
,
0
)
and
(
−
2
,
3
)
, for example.
the graph of
f
(
x
)
=
−
3
2
x
is a straight line, with the same gradient throughout.
the graph of
g
(
x
)
=
(
1
2
)
x
−
1
can also be drawn using two reference points, e.g.
(
0
,
0
)
and
(
−
2
,
3
)
however, it is important to note that it is a curve, and that its gradient decreases as
x
increases.
it is also important for the graph not to touch the line
y
=
−
1
. the value of
y
only tends towards it as
x
nears infinity, since this is the value of
x
at which
(
1
2
)
x
would tend to
0
.
the coordinates at which these graphs meet are
(
−
2
,
3
)
and
(
0
,
0
)
and the
x
-values of these coordinates are
−
2
and
0
.
Attachments:
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