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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 16, 2022
 #1
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It would be nice if the function keeps being 3x^2 + 2 throughout.

Since the graph of y = 3x^2 + 2 is a parabola, we know that it is continuous.

 

Then a = 3 is the answer.

 Jun 16, 2022

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