EXAMPLE 1 Write a function rule

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Presentation transcript:

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

EXAMPLE 1 Write a function rule 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 = . 1 3 The table represents the exponential function y = 3x. 1 3

EXAMPLE 1 Write a function rule x y –1 2 1 +1 4 16 b. 1 4 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 = .

EXAMPLE 1 Write a function rule The value of y when x = 0 is 1, so a = 1. 1 4 The table represents the exponential function y = . x

5 1 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 2 25 ANSWER yes; y = ( )x 1 5