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How does g(x)=-x change over the interval from x=-6 to x=-3?
g(x) decreases by 3 
g(x) decreases by 1
g(x) increases by 3 
g(x) decreases by 2

How does g(x)=xg(x)=-x change over the interval from x=6x=-6 to x=3x=-3?\newline g(x)g(x) decreases by 33 \newline g(x)g(x) decreases by 11\newline g(x)g(x) increases by 33 \newline g(x)g(x) decreases by 22

Full solution

Q. How does g(x)=xg(x)=-x change over the interval from x=6x=-6 to x=3x=-3?\newline g(x)g(x) decreases by 33 \newline g(x)g(x) decreases by 11\newline g(x)g(x) increases by 33 \newline g(x)g(x) decreases by 22
  1. Calculate g(x)g(x): Calculate the values of g(x)g(x) at x=6x = -6 and x=3x = -3.\newlineg(6)=(6)=6g(-6) = -(-6) = 6\newlineg(3)=(3)=3g(-3) = -(-3) = 3
  2. Determine change in g(x): Determine the change in g(x)g(x) from x=6x = -6 to x=3x = -3.\newlineChange = g(3)g(6)=36=3g(-3) - g(-6) = 3 - 6 = -3

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