f(z) = z -7z² – 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.14Critical value(s) = 0,(B) Use interval notation to indicate where f() is increasing.Note: When using interval notation in WeBWork, you use I for oo, - for -oo, and U for the union symbol. If there are no values that satisfy the required condition, then enter "{)"without the quotation marks.Increasing (-10)더놓(C) Use interval notation to indicate where f(z) is decreasing14Decreasing: 0,(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 z = 0(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.14Local minima at z =(F) Use interval notation to indicate where f(x) is concave up.Concave up:OI58°F Mostly cloudy (C) Use interval notation to indicate where f(z) is decreasing.(0.)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 z = 0(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.14Local 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 None. If there are more than one, enter them separated by commas.Inflection point(s) at z = None(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:

Answered: Image /qna-images/answer/957c4ad1-43c2-4c74-838b-f20562dcb9b2.jpg

Answered: (A) Find all critical values of f. If…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Evaluate the following difference quotients for the given functions
Determine the intervals on which the function is concave up or down and find the points of inflection. f(x) = 6x³ 11x² + 1 (Give your answer as a comma-separated list of points in the form (*, *). Express numbers in exact form. Use symbolic notation and fractions where needed.) points of inflection: Determine the interval on which f is concave up. (Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) x E Determine the interval on which f is concave down. (Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.…
Please use the function to answer the question.
Determine the intervals on which the function is concave up or down and find the points of inflection. f(x) = 6x³ - 5x² + 1 (Give your answer as a comma-separated list of points in the form (*, *). Express numbers in exact form. Use symbolic notation and fractions where needed.) points of inflection: Determine the interval on which f is concave up. (Give your answer as an interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) x E Determine the interval on which f is concave down. (Give your answer as an interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.…
Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in between characters. * At which point/s (value/s of x) is the function continuous but not differentiable? DO NOT include the variable. Just give the value/s of x. Type your answer/s in the following format: 2,-3 Your answer
Consider the function. x³ + 12 f(x) = X Determine the intervals on which f is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(",")", "[","]" depending on whether the interval is open or closed. Enter Øif the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such intervals exists.) f is increasing on: f is decreasing on: fis concave up on: fis concave down on: Identify the asymptotes of f. (Give your answer as a comma-separated list of equations. Express numbers in exact form. Use symbolic notation and fractions f(x) and give any asymptotes in the form of an equation in terms of x and y. Enter DNE if no such where needed. Let y = asymptote exists.) vertical asymptote(s): horizontal asymptote(s): Use the graphing utility to graph f. f(x) = -6 -3 18- 12 9 -6 b 3 0 ડે…
f and state its domain. Write the domain in interval notation. g For the given functions f and g, find f(x) = 6x + 1; g(x) = 5x-3 O A. 6x + 1 (x) = 5x-3' 00 5x- 3 О В. (x) = 6x +1 00, - 6x + 1 C. 5x - 3 - 00, - OD. 5x-3 (x) =

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