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Calculus I Quiz
#8 November
9, 2004
Name____________________ R. Hammack Score
______
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(1) Suppose an invertible
function f and
its derivative obey the following
table.
(a) 3 (because
f(3) = 0)
(b) Is
invertible? Explain. NO.
The chart says f '(0) = f
'(3), so f ' is
not one-to-one, so it's not invertible.
(c) If , find
.
Using the formula for the derivative of an inverse, we get:
Thus:
(2)
Find the inverse of the function
(3)
The graph of a function f is
drawn. Sketch the graph of its inverse.
The graph is obtained by reflecting the given graph across the line y
= x.