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

Harlen Pritchard 2021-09-24 Answered

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

$$\begin{array}{}x&0&2&4&6\\y&1&9&81&729 \end{array}$$

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Lacey-May Snyder

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,
$$\displaystyle{f{{\left({x}\right)}}}{>}{g{{\left({x}\right)}}}\ {w}{h}{e}{n}\ {1}\le{x}{<}{9}$$
$$\displaystyle{g{{\left({x}\right)}}}{>}{f{{\left({x}\right)}}}\ {w}{h}{e}{n}\ {x}\Rightarrow{9}$$