8. The following is a function f(x) and its first and second derivatives: -6(3- 4x) (4x +3)3 "(2) = 96(2r- 3) (4x+3)4 -6x f(x) = f (x) = %3D (4x + 3)2 Complete the following sentences. (No partial credit, no explanations needed.) "None" could be am appropriate answer in some cases. (a) The domain of f(x) is (b) A y-intercept of the graph of y = f(x) occurs at y = (c) An x-intercept of the graph of y = f(x) occurs at z = %3D (d) The graph of y f(x) has a horizontal asymptote at y = (e) The graph of y = f(x) has a vertical asymptote at z = (f) The function f(r) is increasing on the open interval(s) (g) The r-coordinates of the local minima of f are (h) The x-coordinates of any local maxima of f are (i) The function f(x) is concave up on the open interval(s) (i) The x-coordinates of the inflection points of f are (k) Sketch a graph of this function.
8. The following is a function f(x) and its first and second derivatives: -6(3- 4x) (4x +3)3 "(2) = 96(2r- 3) (4x+3)4 -6x f(x) = f (x) = %3D (4x + 3)2 Complete the following sentences. (No partial credit, no explanations needed.) "None" could be am appropriate answer in some cases. (a) The domain of f(x) is (b) A y-intercept of the graph of y = f(x) occurs at y = (c) An x-intercept of the graph of y = f(x) occurs at z = %3D (d) The graph of y f(x) has a horizontal asymptote at y = (e) The graph of y = f(x) has a vertical asymptote at z = (f) The function f(r) is increasing on the open interval(s) (g) The r-coordinates of the local minima of f are (h) The x-coordinates of any local maxima of f are (i) The function f(x) is concave up on the open interval(s) (i) The x-coordinates of the inflection points of f are (k) Sketch a graph of this function.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
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 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Solve early parts c and d onlys.
Transcribed Image Text:8. The following is a function f(x) and its first and second derivatives:
-6(3- 4x)
(4x +3)3
"(2) = 96(2r- 3)
(4x+3)4
-6x
f(x) =
f (x) =
%3D
(4x + 3)2
Complete the following sentences. (No partial credit, no explanations needed.) "None"
could be am appropriate answer in some cases.
(a) The domain of f(x) is
(b) A y-intercept of the graph of y = f(x) occurs at y =
(c) An x-intercept of the graph of y = f(x) occurs at z =
%3D
(d) The graph of y f(x) has a horizontal asymptote at y =
(e) The graph of y = f(x) has a vertical asymptote at z =
(f) The function f(r) is increasing on the open interval(s)
(g) The r-coordinates of the local minima of f are
(h) The x-coordinates of any local maxima of f are
(i) The function f(x) is concave up on the open
interval(s)
(i) The x-coordinates of the inflection points of f are
(k) Sketch a graph of this function.
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