Tell whether each function represents exponential growth, exponential decay, or neither. Justify your responses.x0246 y1981729

iohanetc 2021-06-24 Answered

Tell whether each function represents exponential growth, exponential decay, or neither. Justify your responses.

\(\begin{array}{|c|c|}\hline x & 0 & 2 & 4 & 6 \\ \hline y & 1 & 9 & 81 & 729 \\ \hline \end{array}\)

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Expert Answer

l1koV
Answered 2021-06-25 Author has 2895 answers

Alex needs to revise his conjecture because the function f(x) is only greater for limited domain since it is a linear function. The function g(x) becomes greater when the value of domain is greater than or equal to 9. In such case,
\(\displaystyle{f{{\left({x}\right)}}}{>}{g{{\left({x}\right)}}}{w}{h}{e}{n}{1}\le{x}{<}{9}\)
\(\displaystyle{g{{\left({x}\right)}}}{>}{f{{\left({x}\right)}}}{w}{h}{e}{n}{x}\Rightarrow{9}\)

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