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Answer 1 · 2017-10-15T04:40:09

For the function y = f(x) between x = a, and x = b, the
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$f(x)=2x^2-3x$
$f(a)=2-3=-1, when color(white)(aa)a=1$

$f(b)=32-12=20, when color(white)(aa)b=4$

$a=1, f(a)=-1; b=4, f(b)=20$

Average rate of change $=(f(b)-f(a))/(b-a)= (20-(-1))/(4-1)$
$=21/3=7$

$y=mx+c$ ; to find c,
$-1=(7*1)+c$
$c=-8$

The function is
$y=7x-8$