You are given the graph of a function f. Determine the relative maxima and relative minima, if any. (If an answer does not exist, enter DNE.)relative minimum(x, y)relative maximum(x, y) = 32.

we have to find the relative maxima and minima of the given graph

Answered: You are given the graph of a function…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter1: Expressions And Functions

Section1.8: Interpreting Graphs Of Functions

Problem 17PPS

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bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?
Grazing Kangaroos The amount of vegetation eaten in a day by a grazing animal V of food available measured as biomass, in units such as pounds per acre. This relationship is called the functional response. If there is little vegetation available, the daily intake will be small, since the animal will have difficulty finding and eating the food. As the amount of food biomass increases, so does the daily intake. Clearly, though, there is a limit to the amount the animal will eat, regardless of the amount of food available. This maximum amount eaten is the satiation level. a.For the western grey kangaroo of Australia, the functional response is G=2.54.8e0.004V, where G=G(V) is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Draw a graph of G against V. Include vegetation biomass levels up to 2000 pounds per acre. ii. Is the graph you found in part i concave up or concave down? Explain in practical terms what your answer means about how this kangaroo feeds. iii. There is a minimal vegetation biomass level below which the western grey kangaroo will eat nothing. Another way of expressing this is to say that the animal cannot reduce the food biomass below this level. Find this minimal level. iv. Find the satiation level for the western grey kangaroo. b. For the red kangaroo of Australia, the functional response is R=1.91.9e0.033V, Where R is the daily intake measured in pounds and V is the vegetation biomass measured in pounds per acre. i. Add the graph of R against V to the graph of G you drew in part a. ii. A simple measure of the grazing efficiency of an animal involves the minimal vegetation biomass level described above: The lower the minimal level for an animal, the more efficient it is at grazing. Which is more efficient at grazing, the western grey kangaroo or the red kangaroo?
Find the function's relative maxima, relative minima, and saddle points, if they exist. (If an answer does not exist, enter DNE.) z = 22 − x2 + xy − y2 + 36y relative maximum (x, y, z) =
Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) g(x) = x2 + 5x + 4 Relative maximum (x,y) = relative minimum (x,y)= f(x) = x3 − 75x + 1 Relative maximum (x,y)= relative minimum (x,y)= f(x) = 3x4 − 4x3 + 6 Relative maximum (x,y)= Relative minimum (x,y)= Profit Function for Producing Thermometers The Mexican subsidiary of ThermoMaster manufactures an indoor-outdoor thermometer. Management estimates that the profit (in dollars) realizable by the company for the manufacture and sale of x units of thermometers each week is represented by the function below, where x ≥ 0. Find the interval where the profit function P is increasing and the interval where P is decreasing. (Enter your answer using interval notation.) P(x)= -0.003x2+6x-5,000 Increasing: Decreasing: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operations—a practice called Web hosting. Managed…
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You are given the graph of a function f. Determine the relative maxima and relative minima, if any. (If an answer does not exist, enter DNE.) relative minimum (x, y) relative maximum (x, y) = 3 2.