$\sqrt[\phantom{2}]{x^2+x}-x$ Do the following calculations for your given function,and show all of work.

label each part. Use proper math notation for all of your answers.

a$.$ Domain in interval notation

b$.$ x$-$ and y$-$intercepts, write them as ordered pairs.

c$.$ Vertical and Horizontal asymptotes, write as equations of lines

d$.$ Intervals of increase, decrease, and$/$or constant

e$.$ Relative extrema, write them as ordered pairs

f$.$ Intervals of concavity

g$.$ Inflection points, write them as ordered pairs