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(Solved): (1 point) Consider the graph of the function f(x)=\sqrt(x^(2)+4x) For the following question, ent ...

(1 point) Consider the graph of the function

f(x)=\sqrt(x^(2)+4x)

(-2,3],(-I,0)\cup [1,2)

, etc. using I for

\infty

or type 'empty' for

(O)/()

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

(\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)\cup [1,2)

, etc. using I for

\infty

or type 'empty' for

(O)/()

F. For what values of

x

is

f

decreasing? G. For what values of

x

is

f

concave up?

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