Step-by-step explanation:
Find the y value at y=0
Replace the variable x with 0
in the expression.
f
(
0
)
=
5⋅
2
0
Simplify the result.
5
The y value at x
=
0 is 5
.
y
=
5
Find the
y value at x
=
−
1
y
=
5
2
Find the
y
value at
x
=
−
2
.
y
=
5
4
Find the
y
value at
x
=
1
.
y
=
10
Find the
y
value at
x
=
2
.
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y
=
20
List the points to graph.
(
0
,
5
)
,
(
−
1
,
2.5
)
,
(
−
2
,
1.25
)
,
(
1
,
10
)
,
(
2
,
20
)
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Use the found points and asymptotes to graph
y
=
5
⋅
2
x
.
Horizontal Asymptote:
y
=
0
x
y
−
2
1.25
−
1
2.5
0
5
1
10
2
20
Find the
y
value at
x
=
−
1
.
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y
=
5
2
Find the
y
value at
x
=
−
2
.
Tap for more steps...
y
=
5
4
Find the
y
value at
x
=
1
.
y
=
10
Find the
y
value at
x
=
2
.
y
=
20
List the points to graph.
(
0
,
5
)
,
(
−
1
,
2.5
)
,
(
−
2
,
1.25
)
,
(
1
,
10
)
,
(
2
,
20
)
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Use the found points and asymptotes to graph
y
=
5
⋅
2
x
.
Horizontal Asymptote:
y
=
0
x
y
−
2
1.25
−
1
2.5
0
5
1
10
2
20
Find the
y
value at
x
=
−
1
.
Tap for more steps...
y
=
5
2
Find the
y
value at
x
=
−
2
.
Tap for more steps...
y
=
5
4
Find the
y
value at
x
=
1
.
Tap for more steps...
y
=
10
Find the
y
value at
x
=
2
.
Tap for more steps...
y
=
20
List the points to graph.
(
0
,
5
)
,
(
−
1
,
2.5
)
,
(
−
2
,
1.25
)
,
(
1
,
10
)
,
(
2
,
20
)
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Use the found points and asymptotes to graph
y
=
5
⋅
2
x
.
Horizontal Asymptote:
y
=
0
x
y
−
2
1.25
−
1
2.5
0
5
1
10
2
20
Find the
y
value at
x
=
−
1
.
Tap for more steps...
y
=
5
2
Find the
y
value at
x
=
−
2
.
y
=
5
4
Find the
y
value at
x
=
1
.
y
=
10
Find the
y
value at
x
=
2
.
y
=
20
List the points to graph.
(
0
,
5
)
,
(
−
1
,
2.5
)
,
(
−
2
,
1.25
)
,
(
1
,
10
)
,
(
2
,
20
)
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Use the found points and asymptotes to graph
y
=
5
⋅
2
x
.
Horizontal Asymptote:
y
=
0
x
y
−
2
1.25
−
1
2.5
0
5
1
10
2
20
