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Let

f(x) = 3x^2 + 2 if x <= 3

f(x) = ax^2 + 2 if x > 3

Find a if the graph of y = f(x) is continuous (which means the graph can be drawn without lifting your pencil from the paper).

 Jun 21, 2022
 #1
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If x  = 3  then

 

3(3)^2  + 2   =   29

 

So  we need to have

 

a(3)^2 + 2  =  29

 

9a  = 27

 

a = 3

 

See the graph here : https://www.desmos.com/calculator/srad0t3mxn

 

 

cool cool cool

 Jun 21, 2022

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