Name Date Day #16 Homework Class 1. If g'(x) = (x-3)2(x+1), determine on what intervals the...

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Name Date Day #16 Homework Class 1. If g'(x) = (x-3)2(x+1), determine on what intervals the graph of g(x) is increasing or decreasing and identify the value(s) of x at which g(x) has a relative maximum or minimum. Justify your reasoning and show your work. For exercises 2-4, use the graph of t function, h(x), pictured to the right. Use the graph to identify the following. Provide written justification. 2. On what interval(s) is h'(x) <0? 0-xin bo dang 3. On what interval (s) is h'(x)> 0? aitaw 0=x acil gal the norma 4. At what value(s) of x does h'(x) change from positive to negative? From negative to positive? 01 Name Date Day #16 Homework Class 1. If g'(x) = (x-3)2(x+1), determine on what intervals the graph of g(x) is increasing or decreasing and identify the value(s) of x at which g(x) has a relative maximum or minimum. Justify your reasoning and show your work. For exercises 2-4, use the graph of t function, h(x), pictured to the right. Use the graph to identify the following. Provide written justification. 2. On what interval(s) is h'(x) <0? 0-xin bo dang 3. On what interval (s) is h'(x)> 0? aitaw 0=x acil gal the norma 4. At what value(s) of x does h'(x) change from positive to negative? From negative to positive? 01