In Exercises 91–96 , the graph of a derivative f ′ is shown. Use the information in each graph to determine where f is increasing or decreasing and the x -values of any extrema. Then sketch a possible graph of f . Increasing on ( − ∞ , 2 ) , decreasing on ( 2 , ∞ ) , relative minimum at x = 2 .
In Exercises 91–96 , the graph of a derivative f ′ is shown. Use the information in each graph to determine where f is increasing or decreasing and the x -values of any extrema. Then sketch a possible graph of f . Increasing on ( − ∞ , 2 ) , decreasing on ( 2 , ∞ ) , relative minimum at x = 2 .
Solution Summary: The author analyzes the graph of the derivative function fprime and determines whether the function is decreasing or increasing.
In Exercises 91–96, the graph of a derivative
f
′
is shown. Use the information in each graph to determine where f is increasing or decreasing and the x-values of any extrema. Then sketch a possible graph of
f
.
Increasing on
(
−
∞
,
2
)
, decreasing on
(
2
,
∞
)
, relative minimum at
x
=
2
.
Each of Exercises 81–84 shows the graphs of the first and second
derivatives of a function y = f(x). Copy the picture and add to it a
sketch of the approximate graph of f, given that the graph passes
through the point P.
In Exercises 7–10, determine from its graph if the function is one-to-one.
In Exercises 11–18, graph each function by making a table of
coordinates. If applicable, use a graphing utility to confirm your
hand-drawn graph.
11. f(x) = 4"
13. g(x) = ()*
15. h(x) = (})*
17. f(x) = (0.6)
12. f(x) = 5"
14. g(x) = ()
16. h(x) = (})*
18. f(x) = (0.8)*
%3!
University Calculus: Early Transcendentals (4th Edition)
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