SOLUTION: f is a continuous function with a domain [−3, 9] such that
f of x equals 3 for x between negative 3 and 0 including negative 3, equals negative 1 times x plus 3 for x betwee
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-> SOLUTION: f is a continuous function with a domain [−3, 9] such that
f of x equals 3 for x between negative 3 and 0 including negative 3, equals negative 1 times x plus 3 for x betwee
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Question 1021214: f is a continuous function with a domain [−3, 9] such that
f of x equals 3 for x between negative 3 and 0 including negative 3, equals negative 1 times x plus 3 for x between 0 and 6 inclusive, and equals negative 3 for x greater than 6 and less than or equal to 9
and let g of x equals the integral from negative 2 to x of f of t, dt.
1. On what interval is g increasing? Justify your answer.
2. For 0 ≤ x ≤ 6, express g(x) in terms of x. Do not include +C in your final answer.
You can put this solution on YOUR website! a) g increases from [-3,3]. From the graph the function f cross the x axis and the total area starts decreasing.
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b) Break up the integral into 3 regions.
[-3,0]
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[0,6]
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[6,9]
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