Identify local extrema and intervals on which the function is decreasing and increasing. . . . Question content area top right Part 1

A coordinate system has a horizontal axis labeled from negative 10 to 10 in increments of 2 and a vertical axis labeled from negative 50 to 50 in increments of 10. A graph consists of two curves. The first curve rises at a decreasing rate to a maximum plotted 2 units to the left of and 1 unit below the origin, and then falls at an increasing rate to a plotted point 1 unit to the right of and 10 units below the origin. The second curve falls at decreasing rate to a minimum plotted 4 units to the right of and 21 units below the origin, and then rises at an increasing rate. ​[negative 10​, 10​] by ​[minus​50, ​50] Question content area bottom Part 1 Choose the best description for the plotted point left parenthesis negative 2 comma negative 1 right parenthesis on the curve. A. a local maximum B. neither a minimum nor a maximum C. a local minimum Part 2 Choose the best description for the plotted point left parenthesis 1 comma negative 10 right parenthesis on the curve. A. a local minimum B. neither a minimum nor a maximum C. a local maximum Part 3 Choose the best description for the plotted point left parenthesis 4 comma negative 21 right parenthesis on the curve. A. a local maximum B. neither a minimum nor a maximum C. a local minimum Part 4 On which intervals is the function increasing​? A. left bracket negative 2 comma 4 right bracket and left bracket 4 comma infinity right parenthesis B. left parenthesis negative infinity comma negative 2 right bracket and left bracket negative 2 comma 4 right bracket C. left bracket negative 2 comma negative 1 right bracket and left bracket 4 comma negative 21 right bracket D. left parenthesis negative infinity comma negative 2 right bracket and left bracket 4 comma infinity right parenthesis Part 5 On which interval is the function decreasing​? A.left bracket 4 comma infinity right parenthesis left bracket 4 comma infinity right parenthesis B.left bracket negative 2 comma negative 1 right bracket left bracket negative 2 comma negative 1 right bracket C.left bracket negative 2 comma 4 right bracket left bracket negative 2 comma 4 right bracket D.left parenthesis negative infinity comma negative 2 right bracket left parenthesis negative infinity comma negative 2 right bracket