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.

4.On what interval is g increasing? Justify your answer.

5.For 0 ≤ x ≤ 6, express g(x) in terms of x. Do not include +C in your final answer.

Question

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.

4.On what interval is g increasing? Justify your answer. 


5.For 0 ≤ x ≤ 6, express g(x) in terms of x. Do not include +C in your final answer.

dc456 · Answer

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