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).

Guest Feb 17, 2021

#1**+1 **

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

ElectricPavlov Feb 17, 2021