Answer:
Step-by-step explanation:
x (3,7,11,15)
y (4,6,8,10)
A. This IS a function because u have no repeating x values
B. Data in table :
when x = 11, y = 8
relation : f(x) = 5x - 21....when x = 11
f(11) = 5(11) - 21
f(11) = 55 - 21
f(11) = 34.....so when x = 11, y = 34
therefore, the relation f(x) = 5x - 21 has a greater value then the table
C. f(x) = 5x - 21......f(x) = 99
99 = 5x - 21
99 + 21 = 5x
120 = 5x
120/5 = x
24 = x <====
Answer:
need points
Step-by-step explanation:
need points
Answer:
y
=
4
(
1
2
)
x
Explanation:
An exponential function is in the general form
y
=
a
(
b
)
x
We know the points
(
−
1
,
8
)
and
(
1
,
2
)
, so the following are true:
8
=
a
(
b
−
1
)
=
a
b
2
=
a
(
b
1
)
=
a
b
Multiply both sides of the first equation by
b
to find that
8
b
=
a
Plug this into the second equation and solve for
b
:
2
=
(
8
b
)
b
2
=
8
b
2
b
2
=
1
4
b
=
±
1
2
Two equations seem to be possible here. Plug both values of
b
into the either equation to find
a
. I'll use the second equation for simpler algebra.
If
b
=
1
2
:
2
=
a
(
1
2
)
a
=
4
Giving us the equation:
y
=
4
(
1
2
)
x
If
b
=
−
1
2
:
2
=
a
(
−
1
2
)
a
=
−
4
Giving us the equation:
y
=
−
4
(
−
1
2
)
x
However! In an exponential function,
b
>
0
, otherwise many issues arise when trying to graph the function.
The only valid function is
y
=
4
(
1
2
)
x
