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Chapter 3: Q. 26 (page 275)

In Exercises 21–28, graphs of $f, f^{'}, or f^{''}$ are given. Whichever is shown, sketch graphs of the remaining two functions. Label the locations of any roots, extrema, and inflection points on each graph.

Short Answer

Expert verified

The graph of $f i s,$

The graph of $f'' i s,$

Step by step solution

Step 1. Given information.

The given graph is,

Step 2. Graph of f.

According to the given graph,

$f < 0, i n t h e i n t e r v a l (- \infty, 1) f > 0, i n t h e i n t e r v a l (1, \infty)$

Step 3. Graph of f''.

The graph of $f''$ will be ,

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In Exercises 21–28, graphs of f,f',orf''are given. Whichever is shown, sketch graphs of the remaining two functions. Label the locations of any roots, extrema, and inflection points on each graph.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Graph of f.

Step 3. Graph of f''.

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In Exercises 21–28, graphs of $f, f^{'}, or f^{''}$ are given. Whichever is shown, sketch graphs of the remaining two functions. Label the locations of any roots, extrema, and inflection points on each graph.