For the following exercises, draw a graph of the functions without using a calculator. Be sure to notice all important features of the graph: local maxima and minima , inflection points, and asymptotic behavior. 295. y = x 3 − 3 x 2 + 4
For the following exercises, draw a graph of the functions without using a calculator. Be sure to notice all important features of the graph: local maxima and minima , inflection points, and asymptotic behavior. 295. y = x 3 − 3 x 2 + 4
For the following exercises, draw a graph of the functions without using a calculator. Be sure to notice all important features of the graph: local maxima and minima, inflection points, and asymptotic behavior.
295.
y
=
x
3
−
3
x
2
+
4
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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Problem 2
A successful music app tracked the number of song downloads each day for a month for 4 music artists, represented by lines l, j, m,
and d over the course of a month. Which line represents an artist whose downloads remained constant over the month?
Select the correct choice.
=
Sidebar
Tools
M
45
song downloads
days
d
1
2
3
4
5
6
7
8
00
8
m
l
RA
9
>
КУ
Fullscreen
G
Save & Exit
De
☆
Q/Determine the set of points at which
-
f(z) = 622 2≥ - 4i/z12
i
and
differentiable
analytice
is:
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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