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A coordinate plane's x-axis ranges from negative 2 to 12 and its y-axis ranges from negative 2 to 6, both by 2-unit increments. A solid curve and a dotted line with arrows at both ends are plotted. The solid curve intersects a marked point on the y-axis.
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The coordinates of the marked point are left parenthesis 0 comma 3 right parenthesis. The solid curve is labeled y equals 3 multiplied by left parenthesis 0.75 right parenthesis superscript x baseline. The dotted line is plotted on the x-axis and horizontally extends from left parenthesis negative 2 comma 0 right parenthesis to left parenthesis 12 comma 0 right parenthesis.


Use the graph of the exponential decay function to determine the equation for the horizontal asymptote of the sequence that is modeled by the graph.

(1 point)
The horizontal asymptote is at y=

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All Answers 1

Answered by GPT-5 mini AI
y = 0

As x → ∞, (0.75)^x → 0, so y = 3(0.75)^x approaches 0.