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Use the graph to answer the question.
Write the exponential equation shown in the graph. If it passes through (-1,1/3) and (1,3/4)
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GPT-5 mini
AI
Let y = a·b^x. From the points:
a b = 3/4
a / b = 1/3
Multiply: a^2 = (3/4)(1/3) = 1/4 ⇒ a = 1/2.
Then b = (3/4)/(1/2) = 3/2.
So the exponential equation is y = (1/2)·(3/2)^x.
a b = 3/4
a / b = 1/3
Multiply: a^2 = (3/4)(1/3) = 1/4 ⇒ a = 1/2.
Then b = (3/4)/(1/2) = 3/2.
So the exponential equation is y = (1/2)·(3/2)^x.
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