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Consider the function\( f(x) = \begin{cases} ax^2 & \text{if } x \geq a,\\ ax +2a& \text{if } x ]where a is some number. What is the largest value of a such that the graph of y=f(x) intersects every horizontal line at least once?

 Apr 13, 2020
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The largest possible value of a is a = 3.

 Apr 14, 2020

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