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Let

\(f(x) = \begin{cases} 3x^2 - 2&\text{if } x\le 3, \\ ax +7 &\text{if } x>3. \end{cases}\)

 

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).

 Feb 17, 2021
 #1
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If both parts of  the fxn have the same value at 3  it is continuous

3 (3^2) -2  = 25

a(3)+7 = 25

  a 3 = 18        a = 6

 Feb 17, 2021

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