Consider the function.5xf(x) =√x+1Identify the domain of f.(Give your answer as an interval in the form (, ). Use the symbol oo for infinity, U for combining intervals, and an appropriatype of parentheses "(".")", "[", or "I" depending on whether the interval is open or closed. Enter if the interval is empty.Express numbers in exact form. Use symbolic notation and fractions where needed.)domain of fIdentify the transition points of f.(Give your answer in the form of a comma-separated list if necessary. Express numbers in exact form. Use symbolic notationfractions where needed. Enter DNE if no such x-value exists.)f has a local maximum at x =f has a local minimum at x =f has a point of inflection at x =Identify the asymptotes of f.(Give your answer as a comma-separated list of equations if necessary. Express numbers in exact form. Use symbolic notationand fractions where needed. Let y = f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNEno such asymptote exists.)vertical asymptote(s):horizontal asymptote(s):Use the graphing utility to graph f.f(x) =#powered bydesmos

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Consider the function. 5x f(x) = √x² +1 Identify the domain of f. (Give your answer as an interval in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropria type of parentheses "(.")", "[", or "J" depending on whether the interval is open or closed. Enter if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) domain of f Identify the transition points of f. (Give your answer in the form of a comma-separated list if necessary. Express numbers in exact form. Use symbolic notation a fractions where needed. Enter DNE if no such x-value exists.) f has a local maximum at x = f has a local minimum at x =