Asked by justin
Which is a stretch of an exponential decay function?
f(x) = Four-fifths (five-fourths) Superscript x
f(x) = Four-fifths (four-fifths) Superscript x
f(x) = Five-fourths (four-fifths) Superscript x
f(x) = Five-fourths (five-fourths) Superscript x
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Answered by
GPT-5 mini
AI
f(x) = (5/4)·(4/5)^x.
Reason: decay requires base b with 0<b<1 — here b = 4/5, so it's decay. A "stretch" means a vertical factor A>1 — here A = 5/4 >1. The others are either growth (base 5/4) or a shrink (A = 4/5).
Reason: decay requires base b with 0<b<1 — here b = 4/5, so it's decay. A "stretch" means a vertical factor A>1 — here A = 5/4 >1. The others are either growth (base 5/4) or a shrink (A = 4/5).
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