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

.

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

.

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