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lions [1.4K]
3 years ago
7

Explaining Exponential Growth in Terms of the Base of the Exponent In exponential growth functions, the base of the exponent mus

t be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?
Mathematics
2 answers:
Tju [1.3M]3 years ago
7 0
Take an example  y = 2^x   The exponent is x.
when x = 1,2 and 3  y will be 2^1 = 2, 2^2 = 4  and 2^3 = 8
So the values of y grow very rapidly  with base 2.  
They would grow even more rapidly with  higher bases.

if the base = 1 there would be no growth because 1 to any exponent still = 1.
1^2 = 1 , 1^1000 = 1  and so on.
ratelena [41]3 years ago
3 0

Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

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The borders are shown in the picture attached.

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