gshreya2005
05.03.2021 •
Mathematics
The spinner is spun twice. What is the probability of the arrow landing on 4 and then on 3?
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Ответ:
y-intercept
→
(
x
,
y
)
=
(
0
,
4
)
No x-intercept
domain
.
→
{
x
:
x
∈
(
−
∞
,
+
∞
)
}
range
→
{
y
:
y
∈
(
+
3
,
+
∞
)
}
Explanation:
Set
y
=
6
x
+
3
Determine the y-intercept
Set
x
=
0
giving
y
=
6
0
+
3
=
4
Determine the x-intercept
Set
y
=
0
=
6
x
+
3
6
x
=
−
3
Take logs of both sides
x
ln
(
6
)
=
ln
(
−
3
)
But ln(-3) is undefined thus there is no x-intercept
Determine end behaviour
x
→
−
∞
lim
x
→
−
∞
6
x
+
3
=
lim
z
→
+
∞
1
6
z
+
3
→
k
=
3
Determine end behaviour
x
→
+
∞
lim
x
→
+
∞
6
x
+
3
→
k
+
3
=
∞
+
3
=
∞