A portion of the graph of f', the derivative of the twice differentiable function f, is shown in the figure above. The areas of the regions bounded by the graph of f'and the x axis are labeled. It is known that f(1) = -2. The function g is twice differentiable. Selected values of g and g' are shown in the table above. AB1: Find all values of x in the open interval-3 < x < 8 for which the graph of f has horizontal tangent line. For each value of x, determine whether f has a relateive minimum, relative maximum. or neither a minimum nor a maximum at the x value. Justify your answers.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 6E
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5 for 5: Calculus AB Day 2
A =6-
A= 10
4
6.
9.
g(x)
-1
-3
-2
-10
5.
3
A= 14
g'(x)
A portion of the graph of f', the derivative of the twice differentiable function f, is shown in the figure
above. The areas of the regions bounded by the graph of f'and the x axis are labeled. It is known
that f(1) = -2.
The function g is twice differentiable. Selected values of g and g' are shown in the table above.
AB1: Find all values of x in the open interval-3 <x<8 for which the graph of f has horizontal
tangent line. For each value of x, determine whether f has a relateive minimum, relative maximum,
or neither a minimum nor a maximum at the x value. Justify your answers.
1
Transcribed Image Text:zoom in 5 for 5: Calculus AB Day 2 A =6- A= 10 4 6. 9. g(x) -1 -3 -2 -10 5. 3 A= 14 g'(x) A portion of the graph of f', the derivative of the twice differentiable function f, is shown in the figure above. The areas of the regions bounded by the graph of f'and the x axis are labeled. It is known that f(1) = -2. The function g is twice differentiable. Selected values of g and g' are shown in the table above. AB1: Find all values of x in the open interval-3 <x<8 for which the graph of f has horizontal tangent line. For each value of x, determine whether f has a relateive minimum, relative maximum, or neither a minimum nor a maximum at the x value. Justify your answers. 1
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