Question

Which is the graph of f(x) = 5(2)x?

Answer 1

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