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Calculus I Test
#3 November
24, 2003
Name____________________ R. Hammack Score
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(1) Sketch the graph of the
function .
(2) Find the inverse of the function
.
(3) Does the function have
an inverse? Explain.
(4) The graph of a one-to-one function
is given. Using the same coordinate axis, sketch the graph of .
(5) The function is
invertible. Find the number a
for which .
(6) Solve the equation . Hint:
Notice that this has the form of a quadratic.
(7)
(8)
(9)
(10)
(11) Use logarithmic differentiation
to find the derivative of the function .
(12)
(13)
(14)
(15)
(16)
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The problems on this page are about the function .
(17) Find the intervals of increase/decrease.
(18) Find the critical points
of .
(19) Find the locations of
the relative extrema of ,
and identify them as relative maxima or minima.
(20) Find the intervals on
which the graph is concave up/down.