Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the values of f ( a ) , lim x → a − f ( x ) , lim x → a + f ( x ) , and lim x → a f ( x ) or state that they do not exist. 23. f ( x ) = x 2 − 25 x − 5 ; a = 5
Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the values of f ( a ) , lim x → a − f ( x ) , lim x → a + f ( x ) , and lim x → a f ( x ) or state that they do not exist. 23. f ( x ) = x 2 − 25 x − 5 ; a = 5
Solution Summary: The author explains how to sketch the graph of the function f(x)=2-25x-5.
Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the values of
f
(
a
)
,
lim
x
→
a
−
f
(
x
)
,
lim
x
→
a
+
f
(
x
)
, and
lim
x
→
a
f
(
x
)
or state that they do not exist.
2. (5 points) Let f(x) =
=
-
-
- x² − 3x+7. Find the local minimum and maximum point(s)
of f(x), and write them in the form (a, b), specifying whether each point is a minimum
or maximum. Coordinates should be kept in fractions.
Additionally, provide in your answer if f(x) has an absolute minimum or maximum
over its entire domain with their corresponding values. Otherwise, state that there is no
absolute maximum or minimum. As a reminder, ∞ and -∞ are not considered absolute
maxima and minima respectively.
Chapter 2 Solutions
Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package
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