The growth factor of the exponential function represented by the table is 5 .
What is growth factor of the exponential function ?
Since the quantity increases over time, the constant multiplier b has to be greater than 1. Thus, the growth factor b can be expressed as b=1+r, where r is some positive number. The resulting function is called an exponential growth function.
According to the question
The exponential function represented by the table
x f(x)
-2 0.004
-1 0.02
0 0.1
1 0.5
now ,
The growth factor of the exponential function is
Standard equation of exponential function :
f(x) = [tex]ab^{x}[/tex]
b = growth factor
a = initial value
Now
according to table
at x = 0
0.1 = [tex]ab^{0}[/tex]
0.1 = [tex]a*1[/tex]
a = 0.1
at x = 1
f(x) = [tex]ab^{x}[/tex]
0.5 = [tex]0.1 * b^{1}[/tex]
b = 5
Hence, the growth factor of the exponential function represented by the table is 5 .
To know more about exponential growth function here:
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