Suppose f is a differentiable function and A(x) = [* f(t) dt. Match each of the properties of A with the corresponding property of the graph of f. 1. A is decreasing corresponding to 2. A has a local maximum at x = c corresponding to 3. A is concave up corresponding to 4. A goes from concave down to concave up at x = c corresponding to Answer Bank lies below the x-axis has a local maximum at x = c

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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Suppose f is a differentiable function and A(x) = * f(t) dt.
Match each of the properties of A with the corresponding property of the graph of f.
1. A is decreasing corresponding to
2. A has a local maximum at x = c corresponding to
3. A is concave up corresponding to
4. A goes from concave down to concave up at x = c corresponding to
Answer Bank
lies below the x-axis
has a local maximum at x = c
crosses x-axis from positive to negative at x = e
f is decreasing
f is increasing
has a local minimum at x = c
lies above the x-axis
crosses x-axis from negative to positive at x = e
Transcribed Image Text:Suppose f is a differentiable function and A(x) = * f(t) dt. Match each of the properties of A with the corresponding property of the graph of f. 1. A is decreasing corresponding to 2. A has a local maximum at x = c corresponding to 3. A is concave up corresponding to 4. A goes from concave down to concave up at x = c corresponding to Answer Bank lies below the x-axis has a local maximum at x = c crosses x-axis from positive to negative at x = e f is decreasing f is increasing has a local minimum at x = c lies above the x-axis crosses x-axis from negative to positive at x = e
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