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Your MUST SHOW SUFFICIENT WORK on each part of this problem. Consider the function f(x) =...
Suppose that f(x)=ln(8x+6) (A) List all the critical values of f(x). Note: If there are no critic...
Suppose that f(x)=ln(8x+6) (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x)f(x) is increasing. Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the xx values of all local maxima of f(x). If there are no local...
(1 point) NOTE: When using interval notation in WebWork, remember that: You use 'INF' for oo...
(1 point) NOTE: When using interval notation in WebWork, remember that: You use 'INF' for oo and '-INF' for -0. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = -1.5x² – 5x – 2 a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each...
Consider the following function. (If an answer does not exist, enter UN 36 f(x) = x...
Consider the following function. (If an answer does not exist, enter UN 36 f(x) = x + х (a) Find the intervals where the function is increasing and where it is decreasing. (Enter your answer using interval notation.) increasing decreasing (b) Find the relative extrema of F. relative maximum (X,Y) - relative minimum (X,Y) - (c) Find the intervals where the graph of fis concave upward and where it is concave downward. (Enter your answer using interval notation.) concave upward...
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down,...
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down, locate inflection pts. Use this information to sketch the graph. (20 pts) 4x2 + 12x – f'(x) = Critical Values are: F"(x) = Possible Inflection points are: First derivative information Interval Sample point f' = + or - Show inc/dec 2nd derivative information Interval Sample point f" x f" = + or - Concavity:
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
Let f(x) = 2x + 8/x +1 (a) Find the interval(s) where the function is increasing...
Let f(x) = 2x + 8/x +1
(a) Find the interval(s) where the function is increasing and
the interval(s) where it is decreasing. If the answer cannot be
expressed as an interval, state DNE (short for does not exist).
(b) Find the relative maxima and relative minima, if any. If
none, state DNE.
(c) Determine where the graph of the function is concave upward
and where it is concave downward. If the answer cannot be expressed
as an interval, use...
7x - 4 (1 point) Let f(x) = - 1. Find the open intervals on which...
7x - 4 (1 point) Let f(x) = - 1. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection x+4 points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as...
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all ...
question 8 has parts (A-I)
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
Consider the function...... Please help for all incorrect answers Result Entered Answer Preview 0.516397779494322, -0.516397779494322 incorrect 15' 15 The answer above is NOT correct Consider the...
Consider the function......
Please help for all incorrect answers
Result Entered Answer Preview 0.516397779494322, -0.516397779494322 incorrect 15' 15 The answer above is NOT correct Consider the function 5r2 + List the r values of the inflection points of f. If there are no inflection points, enter 'NONE 2/sqrt(15), -(2/sqrt(15)) Entered Answer Preview Result (-0o, 2- 3) U (2 3,oo) incorrect (-infinity,0.267949) U (3.73205,infinity) (2- V3,2+ v3) (0.267949, 3.73205) incorrect 0.57735,-0.57735 correct At least one of the answers above is NOT...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all infl...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave
up (down). Then determine the x-coordinates of all inflection
points of f.
Let Find the open intervals on which is concave up down Then determine the X-coordinates of all inflection points of x = f is concave up on the intervals 1. 2. f is concave down on the intervals 3· The inflection points occur at Notes: In the first two, your answer should either be a single interval,...
(1 point) NOTE: When using interval notation in WebWork, remember that: You use 'INF' for oo and '-INF' for -0. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = -1.5x² – 5x – 2 a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each...
Consider the following function. (If an answer does not exist, enter UN 36 f(x) = x + х (a) Find the intervals where the function is increasing and where it is decreasing. (Enter your answer using interval notation.) increasing decreasing (b) Find the relative extrema of F. relative maximum (X,Y) - relative minimum (X,Y) - (c) Find the intervals where the graph of fis concave upward and where it is concave downward. (Enter your answer using interval notation.) concave upward...
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down, locate inflection pts. Use this information to sketch the graph. (20 pts) 4x2 + 12x – f'(x) = Critical Values are: F"(x) = Possible Inflection points are: First derivative information Interval Sample point f' = + or - Show inc/dec 2nd derivative information Interval Sample point f" x f" = + or - Concavity:
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
Let f(x) = 2x + 8/x +1
(a) Find the interval(s) where the function is increasing and
the interval(s) where it is decreasing. If the answer cannot be
expressed as an interval, state DNE (short for does not exist).
(b) Find the relative maxima and relative minima, if any. If
none, state DNE.
(c) Determine where the graph of the function is concave upward
and where it is concave downward. If the answer cannot be expressed
as an interval, use...
7x - 4 (1 point) Let f(x) = - 1. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection x+4 points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as...
question 8 has parts (A-I)
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...
Consider the function......
Please help for all incorrect answers
Result Entered Answer Preview 0.516397779494322, -0.516397779494322 incorrect 15' 15 The answer above is NOT correct Consider the function 5r2 + List the r values of the inflection points of f. If there are no inflection points, enter 'NONE 2/sqrt(15), -(2/sqrt(15)) Entered Answer Preview Result (-0o, 2- 3) U (2 3,oo) incorrect (-infinity,0.267949) U (3.73205,infinity) (2- V3,2+ v3) (0.267949, 3.73205) incorrect 0.57735,-0.57735 correct At least one of the answers above is NOT...
Let f(x)=3x-7/x+2. Find the open intervals on which f is concave
up (down). Then determine the x-coordinates of all inflection
points of f.
Let Find the open intervals on which is concave up down Then determine the X-coordinates of all inflection points of x = f is concave up on the intervals 1. 2. f is concave down on the intervals 3· The inflection points occur at Notes: In the first two, your answer should either be a single interval,...
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