1. Find the exact location of all the relative and absolute extrema of the given function. f(x) = x − ln(x) with domain

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1. Find the exact location of all the relative and absolute
extrema of the given function. f(x) = x − ln(x) with domain (0, +∞)
The variable f has ---Select--- at (x, y) =
2.
Find the exact location of all the relative and absolute extrema
of the function. (Order your answers from smallest to
largest t.)
h(t)
= 74t3 + 111t2 with
domain [−2, +∞)
h has ---Select--- a relative
minimum a relative maximum an absolute minimum an
absolute maximum no extremum at (t, y)
=
h has ---Select--- a relative
minimum a relative maximum an absolute minimum an
absolute maximum no extremum at (t, y) =
.h has ---Select--- a relative
minimum a relative maximum an absolute minimum an
absolute maximum no extremum at (t, y) =
3.
Find the exact location of all the relative and absolute extrema
of the function. (Order your answers from smallest to
largest x.)
g(x) = 4x3 − 48x with domain [−4,
4]
g has ---Select--- a relative
minimum a relative maximum an absolute minimum an
absolute maximum no extremum at (x, y)
=
.g has ---Select--- a relative
minimum a relative maximum an absolute minimum an
absolute maximum no extremum at (x, y) =
.g has ---Select--- a relative
minimum a relative maximum an absolute minimum an
absolute maximum no extremum at (x, y) =
.g has ---Select--- a relative
minimum a relative maximum an absolute minimum an
absolute maximum no extremum at (x, y) = .