Find the domain range and the xintervals where the function

Find the domain, range, and the x-intervals where the function is increasing, decreasing, or constant. Enter the answers in interval notation. If there is no answer for the x-intervals, enter \"ONE\".

Solution

Domain of the function is given by

Domain = {min x value to max x value}

Domain = [-8, 4]

Range of the function is given by

Range = {min y value to max y-value}

Range = [-4, 4]

function is increasing in interval [-8, -5) U (0, 4]

function is decreasing in interval (-5, 0)