Chapter 2: Q. 23 (page 166)
In Exercises 21–24, sketch the graph of a function f that has the listed characteristics.
Short Answer
The graph of the function with the given characteristics is:
Chapter 2: Q. 23 (page 166)
In Exercises 21–24, sketch the graph of a function f that has the listed characteristics.
The graph of the function with the given characteristics is:
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Get started for freeIf Katie walked at miles per hour for minutes and then sprinted at miles an hour for minutes, how fast would Dave have to walk or run to go the same distance as Katie did at the same time while moving at a constant speed? Sketch a graph of Katie’s position over time and a graph of Dave’s position over time on the same set of axes.
Use (a) the definition of the derivative and then
(b) the definition of the derivative to find for each function f and value in Exercises 23–38.
25.
Each graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.
Suppose and . Use the chain rule to find role="math" localid="1648356625815" without first finding the formula for .
In Exercises 69–80, determine whether or not f is continuous and/or differentiable at the given value of x. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative.
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