Answer
$45$
Work Step by Step
Since, we have from the graph:
$\sum_a^{b}(a_i^2+1)=((-4)^2+1)+((-2)^2+1)+((0)^2+1)+((2)^2+1)+((4)^2+1)$
or, $=17+5++1+5+17$
or, $=45$
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