Justify all results using algebra and calculus ! Consider the function f ( x ) = x 1 / 3 ( x – 4 ) . ( a ) Identify the domain . ( b ) Identify the…

Find Domain x and y intercepts increasingly decreasing extrema concavity an so inflection points in order to graph

Justify all results using algebra and calculus !Consider the function f ( x ) = x 1 / 3 ( x – 4 ) .( a ) Identify the domain .( b ) Identify the x- intercept ( s ) . Show your work .( C ) Identify the y-intercept . Show your work .( d ) Find all intervals of increase / decrease , the relative extrema , concavity , and inflectionpoints . Show all work .