Use the information in the image: imgur(.)com/a/YzAGLvs (Remove the parenthesis to use link)
1. On what interval is g increasing? Justify your answer.
2. For 0 Ã¢â€°Â¤ x Ã¢â€°Â¤ 6, express g(x) in terms of x. Do not include +C in your final answer.
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1 answer

g is increasing when g' > 0
g'(x) = f(x)
f(x) > 0 when 3 < x < 6
g(x) = ∫[2,x] 3 dt = 3t [2,x] = 63x for 3<=x<0
g(x) = ∫[2,x] 3t dt = 3t  t^2/2 [2,x] = x^2/2  3x  8 for 0<=x<=6
g(x) = ∫[2,x] 3 dt = 3t [2,x] = 63x for 6<x<=9 👍
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Steve
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