2. In the figure above, f', the derivative of function f, is shown. f is a twice differentiable function on rE(-¤,œ). f"(-0.8) = 0 and f"(1.3) = 0. (a) Name the value(s) of x for which f has a relative minimum. Justify your answer. (b) For what values of x is fincreasing? Justify your answer. (c) For what values of x is the graph of f concave downward? Justify your answer. (d) LA-0.5) – f(0) -0.5 – 0 f(-0.5) – f(0) positive or negative? Justify your answer.

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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2.
In the figure above, f', the derivative of function f, is shown.
f is a twice differentiable function on xE(-∞,∞).
f"(-0.8) = 0 and f"(1.3) = 0.
(a) Name the value(s) of x for which fhas a relative minimum.
Justify your answer.
(b) For what values of x is f increasing? Justify your answer.
(c) For what values of x is the graph of f concave downward?
Justify your answer.
(d) LA-0.5) – f(o)
-0.5 – 0
f(-0.5) – f(0)
positive
or negative? Justify your answer.
Transcribed Image Text:2. In the figure above, f', the derivative of function f, is shown. f is a twice differentiable function on xE(-∞,∞). f"(-0.8) = 0 and f"(1.3) = 0. (a) Name the value(s) of x for which fhas a relative minimum. Justify your answer. (b) For what values of x is f increasing? Justify your answer. (c) For what values of x is the graph of f concave downward? Justify your answer. (d) LA-0.5) – f(o) -0.5 – 0 f(-0.5) – f(0) positive or negative? Justify your answer.
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