g"(x) sin(x- 1) x-1 -4 13 A(x) = kr -8x + 6, -1 10 x>3 8 3 -1 (E) Find all x value(s) on the open interval (-2,5) where f(x) has a point of inflection. Give a reason for your answer. (F) Find the average rate of change of h(x), in terms of k, over the interval [2,5). (G) If f(3) = 5, write an equation of the tangent line to f(x) at x = 3. 2.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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x g"(x)
sin(x- 1)
-4
13
x-1
h(x) ={ kr -8x + 6,
-1
10
५e- -x+5,
x> 3
8.
-1
(E) Find all x value(s) on the open interval (-2,5) where f(x) has a point of inflection. Give a reason
for your answer.
(F) Find the average rate of change of h(x), in terms of k, over the interval [2,5].
(G) If f(3) = 5, write an equation of the tangent line to f(x) atx = 3.
(H) Use a right Riemann sum with the four subintervals indicated in the table to approximate g"(x)dx.
Is this approximation an over or under estimate? Give a reason for your answer.
(1) Evaluate
f'(x)dx.
Transcribed Image Text:x g"(x) sin(x- 1) -4 13 x-1 h(x) ={ kr -8x + 6, -1 10 ५e- -x+5, x> 3 8. -1 (E) Find all x value(s) on the open interval (-2,5) where f(x) has a point of inflection. Give a reason for your answer. (F) Find the average rate of change of h(x), in terms of k, over the interval [2,5]. (G) If f(3) = 5, write an equation of the tangent line to f(x) atx = 3. (H) Use a right Riemann sum with the four subintervals indicated in the table to approximate g"(x)dx. Is this approximation an over or under estimate? Give a reason for your answer. (1) Evaluate f'(x)dx.
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