Answer:
1,3,9,27 does indeed display exponential behavior.
Step-by-step explanation:
This is because 1 is multiplied by three and every number coming after it. And exponential behavior means numbers are increasing by 3 which is all the same value. For example, one of the definitions is "Exponential behavior occurs when a function increases or decreases at a rate proportional to its current value."
Yes, the sequence displays exponential behavior. The growth rate is the same between any two terms. The growth rate is the same as the percentage of the increase. Find the amount of change and divide by the original amount:
(3-1)/1 = 2/1 = 2
(9-3)/3 = 6/3 = 2
(27-9)/9 = 18/9 = 2
RECOGNIZING LINEAR AND EXPONENTIAL BEHAVIOR FROM TABLES OF DATA
1. For linear functions, f(x)=mx+b f ( x ) = m x + b , we have: f(x+Δx)=f(x)+mΔx. That is, the outputs change m times faster than the inputs. ...
2. For exponential functions, f(x)=ax f ( x ) = a x (where a>0 , a≠1 a ≠ 1 ), we have: f(x+Δx)=aΔx⋅f(x)
Learn more about Exponential behavior at https://brainly.com/question/20966963
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