Question

2) Graph g(x) = x5 + 2x3 – x – 5 using the window (-4,4,-8, 3) in your calculator. Sketch the graph in the given box as you s

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Answer #1

we are given

g(x)=x^5+2x^3-x-5

Graph:

we can draw graph on window

2 g(x) = x3 + 2x3 – 4 – 5 -4 -3 -2 -1 0 2 3 4 N (-0.385, -4.738) --6 (0.385, -5.262) 8

(a)

Local minima:

It is the valley points

so, we get

(0.385,-5.262)

(b)

Local maxima:

It is the peak points

so, we get

(-0.385,-4.738)

(c)

Increasing intervals:

When curve is moving upward

so, we get

[-4,-0.385)\cup (0.385,4]

(d)

Decreasing interval:

When curve is moving downward

so, we get

(-0.385,0.385)

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