Suppose that (A) Find all critical values of f. compute their average, and enter it below. Note: If there are no critical values, enter-1000. Average of critical values= 0,25/42 (B) Use interval notation to indicate where f(z) is increasing. Note: Enter for oo, -for-oo, and 'U' for the union symbol If you have extra boxes, fill each in with an X. Increasing: (C) Use interval notation to indicate where f(x) is decreasing Decreasing: f(x)-72³-52³.
Suppose that (A) Find all critical values of f. compute their average, and enter it below. Note: If there are no critical values, enter-1000. Average of critical values= 0,25/42 (B) Use interval notation to indicate where f(z) is increasing. Note: Enter for oo, -for-oo, and 'U' for the union symbol If you have extra boxes, fill each in with an X. Increasing: (C) Use interval notation to indicate where f(x) is decreasing Decreasing: f(x)-72³-52³.
Chapter2: Functions And Their Graphs
Section2.6: Combinations Of Functions: Composite Functions
Problem 60E: Let dt be the number of dogs in the United States in year t, and let ct be the number of cats in the...
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![Suppose that
(A) Find all critical values of f. compute their average, and enter it below.
Note: If there are no critical values, enter-1000.
Average of critical values= 0,25/42
(B) Use interval notation to indicate where f(z) is increasing.
Note: Enter for oo, -for-oo, and 'U' for the union symbol
If you have extra boxes, fill each in with an X.
Increasing:
(C) Use interval notation to indicate where f(x) is decreasing
Decreasing:
(D) Find the coordinates of all local maxima off, compute their average, and enter it below.
Note: If there are no local maxima, enter-1000.
Average of values=
(E) Find the x-coordinates of all local minima of f, compute their average, and enter it below.
Note: If there are no local minima, enter-1000.
Average of values=
(F) Use interval notation to indicate where f(x) is concave up.
Concave up:
(G) Use interval notation to indicate where f(x) is concave down.
Concave down:
(H) Find all inflection points of f, compute their average, and enter it below.
Note: If there are no inflection points, enter-1000.
Average of inflection points=
(1) Find all horizontal asymptotes off, compute the average of the values, and enter it below.
Note: If there are no horizontal asymptotes, enter-1000.
Average of horizontal asymptotes=
(J) Find all vertical asymptotes off, compute the average of the values, and enter it below.
Note: If there are no vertical asymptotes, enter-1000.
Average of vertical asymptotes=
(K) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below.
Graph Complete:
f(x)-72³-5³.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f18d8ec-5173-4222-9a6c-9d28a0bccf01%2F6cf29273-b2aa-44ed-990a-e5d3e910d439%2Ffrlhyyn_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that
(A) Find all critical values of f. compute their average, and enter it below.
Note: If there are no critical values, enter-1000.
Average of critical values= 0,25/42
(B) Use interval notation to indicate where f(z) is increasing.
Note: Enter for oo, -for-oo, and 'U' for the union symbol
If you have extra boxes, fill each in with an X.
Increasing:
(C) Use interval notation to indicate where f(x) is decreasing
Decreasing:
(D) Find the coordinates of all local maxima off, compute their average, and enter it below.
Note: If there are no local maxima, enter-1000.
Average of values=
(E) Find the x-coordinates of all local minima of f, compute their average, and enter it below.
Note: If there are no local minima, enter-1000.
Average of values=
(F) Use interval notation to indicate where f(x) is concave up.
Concave up:
(G) Use interval notation to indicate where f(x) is concave down.
Concave down:
(H) Find all inflection points of f, compute their average, and enter it below.
Note: If there are no inflection points, enter-1000.
Average of inflection points=
(1) Find all horizontal asymptotes off, compute the average of the values, and enter it below.
Note: If there are no horizontal asymptotes, enter-1000.
Average of horizontal asymptotes=
(J) Find all vertical asymptotes off, compute the average of the values, and enter it below.
Note: If there are no vertical asymptotes, enter-1000.
Average of vertical asymptotes=
(K) Use all of the preceding information to sketch a graph of f. When you're finished, enter a "1" in the box below.
Graph Complete:
f(x)-72³-5³.
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