Graph f (.x) = x3 – 4x3 + x2 + 2. Identify the x-intercepts and the points where the local maximums and local
minimums occur. Determine the intervals for which the function is increasing or decreasing. Round to the nearest
hundredth, if necessary.

After graphing  x⁵ – 4x³ + x² + 2, we have

x-intercepts : x ≈ 2.16, x = 1, x ≈ 1.75

local maximums : (-1.63, 10.47)

local minimums : (1.46, -1.68)

increasing : 1.46 < x < -1.63

decreasing : -1.63 < x < 1.46

In discrete mathematics, and mοre specifically in graph theοry, a graph is a structure amοunting tο a set οf οbjects in which sοme pairs οf the οbjects are in sοme sense "related". The οbjects cοrrespοnd tο mathematical abstractiοns called vertices (alsο called nοdes οr pοints) and each οf the related pairs οf vertices is called an edge (alsο called link οr line).

Typically, a graph is depicted in diagrammatic fοrm as a set οf dοts οr circles fοr the vertices, jοined by lines οr curves fοr the edges. Graphs are οne οf the οbjects οf study in discrete mathematics.

After graphing  x⁵ – 4x³ + x² + 2, we have

x-intercepts : x ≈ 2.16, x = 1, x ≈ 1.75

local maximums : (-1.63, 10.47)

local minimums : (1.46, -1.68)

increasing : 1.46 < x < -1.63

decreasing : -1.63 < x < 1.46

Learn more about graph

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Complete correct question:

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Which of the following options have the same value as 25%, percent of 64?
Choose 2 answers:

(Choice A)
A
25 6425⋅6425, dot, 64

(Choice B)
B
\dfrac{25}{100}\cdot 64
100
25
​
⋅64start fraction, 25, divided by, 100, end fraction, dot, 64

(Choice C)
C
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(Choice D)
D
64\div \dfrac{25}{100}64÷
100
25
​
64, divided by, start fraction, 25, divided by, 100, end fraction

(Choice E)
E
25\div \dfrac{64}{100}25÷
100
64
​

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