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8.4 Exponential Functions Remix
供稿人: Smith
Other exponential functions: 

A function such as y=2

is an exponential function.

x
y=3
y=(4.2)
y=(½)
x
x
x

Which is NOT an 

exponential function: 

A function such as y=2

is an exponential function.

x
y=3x
y=(4.2)
y=(¾)
x
x

Thanksgiving

-style,

Set a Table

But Mr.!  How do I graph Exponential

Functions?!!!

x

0

1

2

3

x

Drag in x values

so you can find 3

3

3

3

0
?
1
?
2
?

Hint:

Any #

raised to

the zero

power

equals 1

x

0

1

2

3

1
?
3
?
9
?
x

3

3

3

0
1
2

Drag

the

correct

values

in the

table

x

0

1

2

3

1
3
9                                                                                      
x

This is

an exponential

function graph

x

0

1

2

2

1
?

2

?

4

?
x

Is an exponential function

fill in the x values to

make a new power of 2.

2

x
2
-2
4
-4
2
-2
4
-4
6
-6
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x
.

0

1

2

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2

1

2

4

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x
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Click a

dot to

plot

(0,1)

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2
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6
-6
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x
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0

1

2

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2

1

2

4

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x
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Click a

dot to

plot

(1,2)

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2
-2
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-4
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-6
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x
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1

2

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2

1

2

4

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Click a

dot to

plot

(2,4)

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2
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1

2

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2

1

2

4

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x
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Exponential

graphs

 are

curved

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x

3

4

5

6

2

x-3
Fill in the table blanks

2

2

3
  -3

4

  -3
=
=

2

2

0

1

=
=
???
x

3

4

5

6

2

1

2

x-3
Fill in the table blanks

2

2

5

  -3

6

  -3
=
=

2

2

2

3

=
=
???

Which is the graph of

the exponential function?

maroon graph
black graph
blue graph

Which is the graph of

the exponential function?

 red graph

black graph
blue graph
x

0

1

2

3

(½)

1
?

½

?

¼

?
?
x

(½)

(½)

(½)

(½)

0
1
2
3
=
=
=

(½)

(½)

(½)

*
*

(½)

(½)

*

(½)

x

0

1

2

3

(½)

1

½

¼

x

(½)

(½)

(½)

(½)

0
1
2
3
=
=
=

(½)

(½)

(½)

*
*

(½)

(½)

*

(½)

Look at the graph for

y = (½)

When x = -1 y =
When x=0, y=1
x

Look at the graph for

y = (½)

When x = -1 y =
When x = -2  y =
When x=0, y=1
x
2
DUNNNNNNNNNNNNNN
DUNNNNNNNNNNNNNN
DUNNNNNNNNNNNNNN
DUNNNNNNNNNNNNNN
DUNNNNNNNNNNNNNN
DUNNNNNNNNNNNNNN
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