   Chapter 2.1, Problem 24E

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# Sketch the graph of a function g for which g ( 0 ) = g ( 2 ) = g ( 4 ) = 0 , g ′ ( 1 ) = g ′ ( 3 ) = 0 , g ′ ( 0 ) = g ′ ( 4 ) = 1 , g ′ ( 2 ) = − 1 , lim x → 5 − g ( x ) = ∞ , and lim x → − 1 + g ( x ) = − ∞ .

To determine

To sketch:

the graph for a given function g.

Explanation

Given:

g0= g2=g4=0, g'1=g'3=0, g'0=g'4=1, g'2=1, limx5-gx=, limx- 1+gx=-

Calculations:

We have g0= g2=g4=0 thus 0, 2, 4 are roots of function gx

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