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?
I can't understand your latex but try finding a value of a so that the range of f(x) is \((-∞,∞)\)
:D
Go to this link to find the answer
https://web2.0calc.com/questions/help_51190