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Home » This grows without bound, so there is no horizontal asymptote. - Parker Core Knowledge

This grows without bound, so there is no horizontal asymptote. - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Thus, the completely factored form is $\boxed{(x + 2)(x + 3)}$.

📌 Question: A zoologist models the number of observed behaviors per day as $ y = 2x + b $, where $ x $ is the number of hours spent in the field. If 3 hours of observation yield 11 total behaviors, find the $ y $-intercept of the line.

📌 Solution: We are given a point $ (3, 11) $ lies on the line $ y = 2x + b $. Substitute $ x = 3 $ and $ y = 11 $:

📌 = 2(3) + b

📌 The $ y $-intercept is the point $ (0, b) $, so it is $\boxed{5}$.

📌 Question: A science educator uses a function $ h(x) = x^2 - 4x + c $ to model student performance, and finds that the minimum score occurs at $ x = 2 $. What value of $ c $ ensures $ h(2) = 3 $?

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