Suppose that f is given for x in the interval [0,12] by x= 0 2 4 6 8 10 12 f(x)= -16 -12 -11 -12 -14 -16 -18 A. Estimate f′(2) using the values of f in the table. (Hint: Find the average of the slopes from 0 to 2 and 2 to 4) f′(2)≈ B. For what values of x does f′(x) appear to be positive? (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10) .) C. For what values of x does f′(x) appear to be negative? (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10) .)
Suppose that f is given for x in the interval [0,12] by x= 0 2 4 6 8 10 12 f(x)= -16 -12 -11 -12 -14 -16 -18 A. Estimate f′(2) using the values of f in the table. (Hint: Find the average of the slopes from 0 to 2 and 2 to 4) f′(2)≈ B. For what values of x does f′(x) appear to be positive? (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10) .) C. For what values of x does f′(x) appear to be negative? (Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10) .)
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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Question
Suppose that f is given for x in the interval [0,12] by
x= 0 2 4 6 8 10 12
f(x)= -16 -12 -11 -12 -14 -16 -18
A. Estimate f′(2) using the values of f in the table. (Hint: Find the average of the slopes from 0 to 2 and 2 to 4)
f′(2)≈
B. For what values of x does f′(x) appear to be positive?
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10) .)
C. For what values of x does f′(x) appear to be negative?
(Give your answer as an interval or a list of intervals, e.g., (-infinity,8] or (1,5),(7,10) .)
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