Consider the following function. (If an answer does not exist, enter DNE.) f(x) = 1 + (5/x)- (8/x2) (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) x = Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) y = (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is decreasing. (Enter your answer using interval notation.) (c) Find the local maximum and minimum values. local maximum value local minimum value (d) Find the interval where the function is concave up. (Enter your answer using interval notation.) Find the interval where the function is concave down. (Enter your answer using interval notation.) Find the inflection point. (x, y) =
Consider the following function. (If an answer does not exist, enter DNE.) f(x) = 1 + (5/x)- (8/x2) (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.) x = Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.) y = (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is decreasing. (Enter your answer using interval notation.) (c) Find the local maximum and minimum values. local maximum value local minimum value (d) Find the interval where the function is concave up. (Enter your answer using interval notation.) Find the interval where the function is concave down. (Enter your answer using interval notation.) Find the inflection point. (x, y) =
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 23SE: For the following exercises, consider the graph shown in Figure 16. Estimate the point(s) at which...
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Consider the following function. (If an answer does not exist, enter DNE.)
f(x) = 1 + (5/x)- (8/x2)
(a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list.)
x =
x =
Find the horizontal asymptote(s). (Enter your answers as a comma-separated list.)
y =
(b) Find the interval where the function is increasing. (Enter your answer using interval notation.)
Find the interval where the function is decreasing. (Enter your answer using interval notation.)
(c) Find the
local maximum value |
|
|
|
|
|
(d) Find the interval where the function is concave up. (Enter your answer using interval notation.)
Find the interval where the function is concave down. (Enter your answer using interval notation.)
Find the inflection point.
(x, y) =
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