Would −3^(−x) be an exponential decay of growth? Any and all help appreciated.

jorgejasso85xvx

jorgejasso85xvx

Answered question

2022-11-05

Would 3 x be an exponential decay of growth? Any and all help appreciated.

Answer & Explanation

ustalovatfog

ustalovatfog

Beginner2022-11-06Added 11 answers

Taking c ( a b x ) there is exponential decay if b is negative and exponential growth if b is positive.
Thus for ( 3 x ) there will be exponential decay despite c being negative.
This because the rate of decay does not depend on if the y value decreases as x increases but if the absolute value of y decreases as x increases.Taking x-values of 1,2,3... we get the corresponding y-values as −3,−1/9,−1/27... The y-values are not decreasing but its absolute values are.
So even though− ( 3 ( a + 1 ) ) > ( 3 ( a ) ) , since | ( 3 ( a + 1 ) ) | < | ( 3 ( a ) ) | there is exponential decay.

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