Find the zeros of the function algebraically. (Enter your answers as a comma-separated list. ) A(x ) : 1 X 3 - 2X 5 X = XDetermine the open intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE. f( x) = V x2 - 9 10 8 6 4- (-3, 0) (3, 0) X -10 -8 -6 -4 -2 2 4 6 8 10 - 2 increasing X Check the plus and minus signs of all terms and/or values. decreasing X Check the plus and minus signs of all terms and/or values. constant DNE Awesome!Use a graphing utility to graph the function to approximate (to two decimal places) any relative minima or maxima of the function. (If an answer does not exist, enter DNE.) f( x ) = x5 - 3x2 - x+ 3 relative minimum ( x, V ) = relative maximum ( x, y ) =An object is thrown upward from a height of 6 feet at a velocity of 58 feet per second. t1 = 0, t, = 3 (a) Use the position equation s = -16tz + vit + s, to write a function that represents the situation. Use a graphing utility to graph the function. S = X (b) Find the average rate of change (in ft/sec) of the function from t, to t. X ft/sec (c) Describe the slope of the secant line through t, and t2- The slope of the secant line is positive. O The slope of the secant line is negative. (d) Find the equation of the secant line through t, and t,. Graph the secant line in the same viewing window as your position function. y(t) = X\f