Write a function rule EXAMPLE 1 Tell whether the table represents an exponential function. If so,...

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Write a function rule EXAMPLE 1 Tell whether the table represents an exponential function. If so, write a rule for the function. x y – 1 0 1 2 1 3 1 9 1 3 +1 +1 +1 3 3 3 a .

Transcript of Write a function rule EXAMPLE 1 Tell whether the table represents an exponential function. If so,...

Page 1: Write a function rule EXAMPLE 1 Tell whether the table represents an exponential function. If so, write a rule for the function. x y –10 1 21 3 1 9 1 3.

Write a function rule

EXAMPLE 1

Tell whether the table represents an exponential function. If so, write a rule for the function.

x

y

–1 0

1

21

319

13

+1+1+1

3 3 3

a.

Page 2: Write a function rule EXAMPLE 1 Tell whether the table represents an exponential function. If so, write a rule for the function. x y –10 1 21 3 1 9 1 3.

Write a function rule

EXAMPLE 1

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

The value of y when x = 0 is , so a = .13

13

The table represents the exponential function y = 3x.13

Page 3: Write a function rule EXAMPLE 1 Tell whether the table represents an exponential function. If so, write a rule for the function. x y –10 1 21 3 1 9 1 3.

Write a function ruleEXAMPLE 1

x

y

–1 0 21

+1+1+1

4141

116

14

14

14

b.

14

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

14

Page 4: Write a function rule EXAMPLE 1 Tell whether the table represents an exponential function. If so, write a rule for the function. x y –10 1 21 3 1 9 1 3.

Write a function rule

EXAMPLE 1

The value of y when x = 0 is 1, so a = 1.

14

The table represents the exponential function y = . x

Page 5: Write a function rule EXAMPLE 1 Tell whether the table represents an exponential function. If so, write a rule for the function. x y –10 1 21 3 1 9 1 3.

GUIDED PRACTICE for Example 1

Tell whether the table represents an exponential function. If so, write a rule for the function.

1 5

x

y

–1 0 21

125

15

ANSWER yes; y = ( )x15


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