Consider the graph of the function $f(x)=\sqrt{x^2 + 4x}$

For the following question, enter your answers in the form (-2, 3], (-I,0)U[1,2), etc. using I for $\infty$ or type 'empty' for $\emptyset$

A. What is the domain of the function?

B. What is the y-intercept of the graph? $y$ =

For the following 2 questions, enter all possible values, separated by commas. If there are none, type 'none'.

C. What are the x-intercepts of the graph? $x$ =

D. At what values of $x$ does the graph have a vertical asymptote? $x$ =

E. What is the equation of a slant asymptote with positive slope? y =

Hint: If you would like to understand an expression of the form $\sqrt{x^2 + 4x} - (mx + b)$ it helps to multiply by the expression $\frac{\sqrt{x^2 + 4x} + (mx + b)}{\sqrt{x^2 + 4x} + (mx + b)} = 1$ and then choose $m$ and $b$ so that there is a large amount of cancellation in the numerator.

For the following 2 questions, enter your answers in the form (-2, 3], (-I,0)U[1,2), etc. using I for $\infty$ or type 'empty' for $\emptyset$

F. For what values of $x$ is $f$ decreasing?

G. For what values of $x$ is $f$ concave up?