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(a)
g(-1) =2(-1)^2-4 =2-4 =-2
g(1) = 2(1)^2-4 = 2-4=-2
secant line through the points (-1,g(-1)) , ( 1,g(1))
(y-g(1) )/(x-1) = (g(-1)-g(1))/(-1-1)
(y+2)/(x-1) = 0
y=-2
(b)
-1<x<2
g'(x)
=lim(h->0) [2(x+h)^2-4 - g(x) ]/ h
=lim(h->0) [(x+h)^2-x^2 ]/ h
=lim(h->0) (2x +h)
=2x
g(-1) =2(-1)^2-4 =2-4 =-2
g(1) = 2(1)^2-4 = 2-4=-2
secant line through the points (-1,g(-1)) , ( 1,g(1))
(y-g(1) )/(x-1) = (g(-1)-g(1))/(-1-1)
(y+2)/(x-1) = 0
y=-2
(b)
-1<x<2
g'(x)
=lim(h->0) [2(x+h)^2-4 - g(x) ]/ h
=lim(h->0) [(x+h)^2-x^2 ]/ h
=lim(h->0) (2x +h)
=2x
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