48. Using Behavior to Sketch Sketch a continuous curve y = f(x) with the following properties. Label coordinates where possible. y Curve x<2 falling, concave up 2 horizontal tangent 26 falling, concave down In Exercises 49 and 50, use the graph of f' to estimate the intervals on which the function f is (a) increasing or (b) decreasing. Also, (c) estimate the x-coordinates of all local extreme values. (Assume that the function f is continuous, even at the points where f' is undefined.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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48. Using Behavior to Sketch Sketch a continuous curve
y = f(x) with the following properties. Label coordinates
where possible.
y
Curve
x<2
falling, concave up
2
horizontal tangent
2<x< 4
rising, concave up
inflection point
rising, concave down
horizontal tangent
4
4
6.
7
x>6
falling, concave down
In Exercises 49 and 50, use the graph of f' to estimate the intervals
on which the function f is (a) increasing or (b) decreasing. Also,
(c) estimate the x-coordinates of all local extreme values. (Assume
that the function f is continuous, even at the points where f' is
undefined.)
Transcribed Image Text:48. Using Behavior to Sketch Sketch a continuous curve y = f(x) with the following properties. Label coordinates where possible. y Curve x<2 falling, concave up 2 horizontal tangent 2<x< 4 rising, concave up inflection point rising, concave down horizontal tangent 4 4 6. 7 x>6 falling, concave down In Exercises 49 and 50, use the graph of f' to estimate the intervals on which the function f is (a) increasing or (b) decreasing. Also, (c) estimate the x-coordinates of all local extreme values. (Assume that the function f is continuous, even at the points where f' is undefined.)
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