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Consider the function where  is some number.

 

\(f(x) = \begin{cases} ax^2 & \text{if } x \geq a,\\ ax +2a& \text{if } x


What is the largest value of  such that the graph of  intersects every horizontal line at least once?

 Jul 10, 2021
 #1
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\(f(x) = \begin{cases} ax^2 & \text{if } x \geq a,\\ ax +2a& \text{if } x

 Jul 10, 2021
 #2
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The largest possible value of a is 4.

 Jul 10, 2021

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