Problem 65 of 7
Describe the end behavior of the exponential decay graph y=2.5(0.7)^x.
Hints
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identify long-term approach to horizontal asymptote.
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Base must be between 0 and 1; vertical shifts may set asymptote.
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Your answer is equivalent to the expected form.
Solution
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1. For 0 < base < 1, powers approach 0 as x increases.
2. Add any vertical shift to identify the horizontal asymptote.
3. Account for leading coefficient sign.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying decay reaches the asymptote exactly.