f(x) = x - 52¹/5 (A) Find all critical values of f. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(x) is increasing. Note: When using interval notation in WeBWork, you use I for ∞, -I for -∞, and U for the union symbol. If there are no values that satisfy the required condition, then enter "{}" without the quotation marks. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) Find the x-coordinates of all local maxima of f. If there are no local maxima, enter -1000. If there are more than one, enter them separated by commas. Local maxima at x = (E) Find the x-coordinates of all local minima of f. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas. Local minima at z =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 3TU
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f(z) = z - 5z/3
(A) Find all critical values of f. If there are no critical values, enter - 1000. If there are more than one, enter them separated by commas.
Critical value(s) =
(B) Use interval notation to indicate where f(=) is increasing.
Note: When using interval notation in WeBWork, you use I for oo, -I for -00, and U for the union symbol. If there are no values that satisfy the required condition, then enter "0" without the
quotation marks.
Increasing:
(C) Use interval notation to indicate where f(r) is decreasing.
Decreasing:
(D) Find the r-coordinates of all local maxima of f. If there are no local maxima, enter - 1000. If there are more than one, enter them separated by commas.
Local maxima at z -
(E) Find the r-coordinates of all local minima of f. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas.
Local minima at z =
(F) Use interval notation to indicate where f(z) is concave up.
Concave up:
(G) Use interval notation to indicate where f(z) is concave down.
Concave down:
(H) Find all inflection points of f. If there are no inflection points, enter -1000. If there are more than one, enter them separated by commas.
Infiection point(s) at I =
(1) 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:
Transcribed Image Text:f(z) = z - 5z/3 (A) Find all critical values of f. If there are no critical values, enter - 1000. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(=) is increasing. Note: When using interval notation in WeBWork, you use I for oo, -I for -00, and U for the union symbol. If there are no values that satisfy the required condition, then enter "0" without the quotation marks. Increasing: (C) Use interval notation to indicate where f(r) is decreasing. Decreasing: (D) Find the r-coordinates of all local maxima of f. If there are no local maxima, enter - 1000. If there are more than one, enter them separated by commas. Local maxima at z - (E) Find the r-coordinates of all local minima of f. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas. Local minima at z = (F) Use interval notation to indicate where f(z) is concave up. Concave up: (G) Use interval notation to indicate where f(z) is concave down. Concave down: (H) Find all inflection points of f. If there are no inflection points, enter -1000. If there are more than one, enter them separated by commas. Infiection point(s) at I = (1) 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:
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