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consider the funtion f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) Find the domain of f. (write...

consider the funtion f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2

a) Find the domain of f. (write in interval notation): Df:=_____________?

b) Find the x- and y- intercepts. if any. (write your answers as ordered pairs).

c) Find the asymptotes of f, if any. If there are not, write why. (write answers as equations).

d) Find all of the critical numbers of f. on what intervals is f increasing/decreasing?

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