Show how you found the relative extreme values using Calculus based methodsa. Show how you found the critical point(s).b. Clearly identify how you determined whether a critical point was a relative maximum,relative minimum, or neither by giving evidencec. Make sure to show the check values you used to test whether the function is increasing ordecreasing over each of the indicated subintervals. Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it isdecreasing. Then sketch a graph of the function.G(x)= x² + 2x² + 4x+1Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice.O A. The relative minimum point(s) is/are(Simplify your answer. Type an orderedOB. The relative maximum point(s) is/are(Simplify your answer. Type an orderedOC. The relative minimum point(s) is/areand the relative maximum point(s) is/are(Simplify your answers. Type ordered pairs, using integers or fractions. Use a comma to separate answers as needed.)O D. There are no relative minimum points and there are no relative maximum points.Identify any intervals over which the function is increasing or decreasing. Select the correct choice below and fill in the answer box(es) within your choice.✪and there are no relative maximum points.pair, using integers or fractions. Use a comma to separate answers as needed.)OA. The function G(X) is decreasing over the interval(s)and is not increasing anywhere.(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)OB. The function G(X)increasing over the interval(s) and is not decreasing anywhere.(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)OC. The function G(x) increasing over the interval(s) and decreasing over the interval(s)(Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.)Choose the correct graph below.O A.Qand there are no relative minimum points.pair, using integers or fractions. Use a comma to separate answers as needed.)✔O B.O C.O D.Q

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w you found the relative extreme values using Calculus based methods a. Show how you found the critical point(s). b. Clearly identify how you determined whether a critical point was a relative maximum, relative minimum, or neither by giving evidence c. Make sure to show the c