Find the average rate of change given a table or graphQuestion-5 to x1Given the graph of f(x) below. Determine the average rate of change of f(x) from x =Give your answer as a simplified fraction if necessary. For example, if you found that msec = , you would enter.y76532-6 5-4 3 2 112-1Provide your answer below:LO

Answered: Find the average rate of change given a…

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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It is possible to find the rate of change for an interval between two points of a function by finding the slope between the points. Use the graph to find the y-value for each x-value. Then find the rate of change for each interval. .(-1. and (0.D a.
A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per day. What is the 1-day percent change in the height of the sunflower? At any given moment, the height of the sunflower is what percent of its height 1 day prior? What is the 1-day growth factor for the height of the sunflower? Write a function f(t) that determines the height of the sunflower (in inches) in terms of the number of days t since it was planted. What does f(4) mean in the context of this problem? If the sunflower is 23 inches tall, then how many days has the sunflower been growing for?
Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Mosteller formulat gives one way of estimating body surface area 8 in square meters. The formula uses the weight w in kilograms and the height h in centimeters. The relation is Vhw 60 In this exercise we consider people who are 190 centimeters tall. (a) Write a formula for 8 as a function of w. (b) Make a graph of 8 versus w. Include weights up to 100 kilograms. 3.0 3.0r 25 25 20 20 15 15 1.0 1.0 05 0.5 00 w 00 20 40 60 80 100 20 40 60 80 100 3.0. 3.0 25 25 20 20 1.5 15 1.0 1.0 05 05 w 100 0.0 20 10 60 80 20 10 60 80 100 (c) Is the graph you made in part (b) concave up or concave down? O concave up O concave down (d) In this part we consider the effect of weight gain on men who are 190 centimeters tall. Would the weight gain have a greater effect on surface area for a lighter man or for a he avier man? O lighter man O heavier man
The function g(t) graphed below gives the ocean water surface elevation above NAVD 1988 in inches for 6 days in Nov. of 2017 at the Chincoteague Bay inlet in Chincoteague VA. t=0 represents Nov. 1, 2017. (NAVD 1988 is a vertical control of the primary height benchmark for the water in this inlet) Values above 0 represent an increase in water surface elevation above the NAVD 1988 vertical control and values below O represent a decrease in water surface elevation below the NAVD 1988 vertical control. g(x) Ocean water surface elevation above NAVD 1988 in inches 10- 0 -100 (0, -10) --20- (1.514, 2.189) --30- (1,0) (2,0) (3,-16) 3 4 (5,0) (4, -30) Date: t=0 represents Nov. 1, 2017 ▪ A) Determine the water surface elevation in relation to the NAVD 1988 vertical control height on Nov. 1, 2017.Write your answer in the context of the problem. B) Evaluate g(4). What does this mean in the context of the problem?
A local community center for sports and fitness charges a initial membership fee of $75.00.The center then charges $35 per member monthly use of the facility.Write a function f(x) for the total amount charged to the members for x months of use. What is the rate of change of the function? What is the slope of the function?
The function, f. gives the number of copies a book has sold w weeks after it was published. The equation f (w) = 500 2" defines this function. %3D Select all domains for which the average rate of change could be a good measure for the number of books sold. O0sws 2 OOsws7 O 5 s ws 7 O5 sws 10 O O sws 10
The graph of a function h is shown below. Use the graph of the function to find its average rate of change from x = 1 to x = 4. Simplify your answer as much as possible. y 16+ 14- 12- 10- 8- 6- 4- 2- -8 -6 -4

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