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avatar+692 

Let \[f(x) =
\begin{cases}
x^2&\text{if } x\le 3, \\
3ax &\text{if } x>3.
\end{cases}
\]
Find the value of $a$ if the graph of $y=f(x)$ is continuous (which means the graph can be drawn without lifting your pencil from the paper).

 Aug 14, 2023
 #1
avatar+126971 
+1

Put 3 into  both functions for  x and set them equal

 

3^2 =  3a (3)

 

9 = 9a

 

a  = 1

 

cool cool cool

 Aug 14, 2023

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