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Exponential Decay. March 3 , 2014 Pages 531-534. 1. + 1. + 1. + 1. x. –1. 0. 1. 2. 1. 1. y. 1. 3. 9. 3. 3. 3. 3. Tell whether the table represents an exponential function.

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exponential decay

Exponential Decay

March 3, 2014

Pages 531-534

slide2

1.

+1

+1

+1

x

–1

0

1

2

1

1

y

1

3

9

3

3

3

3

Tell whether the table represents an exponential function.

The y-values are multiplied by 3 for each increase of 1 in x, so the table represents an exponential function.

slide3

2.

+1

+1

+1

x

–1

0

1

2

y

4

1

1

1

1

1

1

1

4

4

4

4

4

The y-values are multiplied by for each increase of 1 in x, so the table represents an exponential function.

1

16

Tell whether the table represents an exponential function.

slide4

3. Graph the function y = xand identify its domain and range.

1

2

x

– 2

– 1

0

1

2

y

STEP1

Make a table by choosing values for x of -2, -1, 0, 1, and 2.

STEP 2

Using a graphing calculator, put in the exponential function, y = 2x.

slide5

x

x

– 2

– 2

– 1

– 1

0

0

1

1

2

2

1

1

1

1

y

y

4

4

2

2

1

1

2

2

4

4

STEP 3

View the table to find the values of y.

STEP 4

Identify its domain and range.

Domain:

Range:

slide6

4. Tell whether the graph represents exponential growth or exponential decay.

SOLUTION

The graph represents exponential growth.

slide7

5. Tell whether the graph represents exponential growth or exponential decay.

SOLUTION

The graph represents exponential decay.

homework

HOMEWORK

Worksheet