Graphs a, b and c are shown. Identify each graph as the function, the derivative, or the second derivative. Ь. у у а. у х -5 -5 -3 Graph a function derivative second derivative cannot be determined Graph b function derivative second derivative cannot be determined Graph c function derivative second derivative cannot be determined Explain. (Select all that apply.) Graph c has a relative extrema at x -5. Graph b shows a graph that crosses the x-axis at x -3. Graph a has inflection points near x -1. At these inputs, graph b has relative extrema, and graph c crosses the x-axis. -5 and x Graph a has relative extrema at x -3 and x 0. Graph b shows a graph that crosses the x-axis at x = -3 and x 0. Graph a has relative extrema at x -5 and x -3. Graph c shows a graph that crosses the x-axis at x -5. Graph b has an inflection point near x -5. At this input, graph c has a relative extrema.

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 82E
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Graphs a, b and c are shown. Identify each graph as the function, the derivative, or the second derivative.
Ь.
у
у
а.
у
х
-5
-5 -3
Graph a
function
derivative
second derivative
cannot be determined
Graph b
function
derivative
second derivative
cannot be determined
Graph c
function
derivative
second derivative
cannot be determined
Transcribed Image Text:Graphs a, b and c are shown. Identify each graph as the function, the derivative, or the second derivative. Ь. у у а. у х -5 -5 -3 Graph a function derivative second derivative cannot be determined Graph b function derivative second derivative cannot be determined Graph c function derivative second derivative cannot be determined
Explain. (Select all that apply.)
Graph c has a relative extrema at x
-5. Graph b shows a graph that crosses the x-axis at x
-3.
Graph a has inflection points near x
-1. At these inputs, graph b has relative extrema, and graph c crosses the x-axis.
-5 and x
Graph a has relative extrema at x
-3 and x 0. Graph b shows a graph that crosses the x-axis at x = -3 and x 0.
Graph a has relative extrema at x
-5 and x
-3. Graph c shows a graph that crosses the x-axis at x
-5.
Graph b has an inflection point near x
-5. At this input, graph c has a relative extrema.
Transcribed Image Text:Explain. (Select all that apply.) Graph c has a relative extrema at x -5. Graph b shows a graph that crosses the x-axis at x -3. Graph a has inflection points near x -1. At these inputs, graph b has relative extrema, and graph c crosses the x-axis. -5 and x Graph a has relative extrema at x -3 and x 0. Graph b shows a graph that crosses the x-axis at x = -3 and x 0. Graph a has relative extrema at x -5 and x -3. Graph c shows a graph that crosses the x-axis at x -5. Graph b has an inflection point near x -5. At this input, graph c has a relative extrema.
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