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Suppose that f(z) = =' - 7z – 1. (A) Find all critical values of f. If there are no critical values, enter None. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(1) 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 "" without the quotation marks. Increasing: (C) Use interval notation to icate where f(z) is decreasing. Decreasing: (D) Find the z-coordinates of all local maxima of f. If there are no local maxima, enter None. If there are more than one, enter them separated by commas. Local maxima at I = (E) Find the z-coordinates of all local minima of f. If there are no local minima, enter None . 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(r) is concave down. Concave down:

Suppose that f(z) = =' - 7z – 1. (A) Find all critical values of f. If there are no critical values, enter None. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(1) 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 "" without the quotation marks. Increasing: (C) Use interval notation to icate where f(z) is decreasing. Decreasing: (D) Find the z-coordinates of all local maxima of f. If there are no local maxima, enter None. If there are more than one, enter them separated by commas. Local maxima at I = (E) Find the z-coordinates of all local minima of f. If there are no local minima, enter None . 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(r) is concave down. Concave down:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Note: When using interval notation in WeBWorK, you use I for oo, 4 for -0o, 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(z) is decreasing. Decreasing: (D) Find the I-Coordinates of all local maxima of f. If there are no local maxima, enter None . If there are more than one, enter them separated by commas. Local maxima at I = (E) Find the I-Coordinates of all local minima of f. If there are no local minima, enter None . If there are more than one, enter them separated by commas. Local minima at z = (F) Use interval notation to indicate where f(1) 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 None If there are more than one, enter them separated by commas. Inflection point(s) at z = (1) Use all of the preceding information to sketch a graph of f. When you're finished, enter 1 in the box below. Graph Complete:
Transcribed Image Text:Note: When using interval notation in WeBWorK, you use I for oo, 4 for -0o, 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(z) is decreasing. Decreasing: (D) Find the I-Coordinates of all local maxima of f. If there are no local maxima, enter None . If there are more than one, enter them separated by commas. Local maxima at I = (E) Find the I-Coordinates of all local minima of f. If there are no local minima, enter None . If there are more than one, enter them separated by commas. Local minima at z = (F) Use interval notation to indicate where f(1) 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 None If there are more than one, enter them separated by commas. Inflection point(s) at z = (1) Use all of the preceding information to sketch a graph of f. When you're finished, enter 1 in the box below. Graph Complete:
Suppose that f(z) = z- 7z - 1. (A) Find all critical values of f. If there are no critical values, enter None. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(1) 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 "" without the quotation marks. Increasing: (C) Use interval notation to icate where f(z) is decreasing. Decreasing: (D) Find the I-Coordinates of all local maxima of f. If there are no local maxima, enter None . If there are more than one, enter them separated by commas. Local maxima at I = (E) Find the r-coordinates of all local minima of f. If there are no local minima, enter None . 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:
Transcribed Image Text:Suppose that f(z) = z- 7z - 1. (A) Find all critical values of f. If there are no critical values, enter None. If there are more than one, enter them separated by commas. Critical value(s) = (B) Use interval notation to indicate where f(1) 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 "" without the quotation marks. Increasing: (C) Use interval notation to icate where f(z) is decreasing. Decreasing: (D) Find the I-Coordinates of all local maxima of f. If there are no local maxima, enter None . If there are more than one, enter them separated by commas. Local maxima at I = (E) Find the r-coordinates of all local minima of f. If there are no local minima, enter None . 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:
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