Answer :
The growth factor of the exponential function represented by the table is 5.
The correct option is c.
What is the growth factor of the exponential function?
The growth factor of the exponential function is the ratio of the two consecutive terms (y-values).
The growth factor of the exponential function is given by;
[tex]\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}\\\\[/tex]
As per given, we have a table;
x y
-2 0.004
-1 0.02
0 0.1
1 0.5
The value [tex]\rm x_2[/tex] is -2 and [tex]\rm x_1[/tex] is -1.
Therefore,
the growth factor of the exponential function represented by the table would be :
[tex]\rm Growth\ factor=\dfrac{y(x_2)}{y(x_1)}\\\ \rm Growth\ factor=\dfrac{y(-1)}{y(-2)}\\\\\rm Growth\ factor=\dfrac{0.02}{0.004}\\\\ \rm Growth\ factor=5[/tex]
Hence, the growth factor of the exponential function represented by the table is 5.
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