7.018 The graph of a function f is shown. 800 400 20 40 60 (a) Find the average rate of change of fon the interval [50, 70]. (Round your answer to the nearest integer.) (b) Identify an interval on which the average rate of change of f is 0. [10, 40] O to, 80] [20, 40] O to, 60] [10, 50] (c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]? O [40, 501 O [40, 80] 40 10 (d) Compute 4010 What does this value represent geometrically? ○ the slope of the line segment from (10, 10)) to (40, f(40)) the slope of the tangent line at (40, 40)) O the slope of the tangent line at (15, f(15)) O the slope of the tangent line at (10M10)) Need Help? Read It Talk to a Tutor If the tangent line to y /(x) at (3, 2) passes through the point (0, 1), find r3) and f(3). Need He

7.018 The graph of a function f is shown. 800 400 20 40 60 (a) Find the average rate of change of fon the interval [50, 70]. (Round your answer to the nearest integer.) (b) Identify an interval on which the average rate of change of f is 0. [10, 40] O to, 80] [20, 40] O to, 60] [10, 50] (c) Which interval gives a larger average rate of change, [40, 50] or [40, 80]? O [40, 501 O [40, 80] 40 10 (d) Compute 4010 What does this value represent geometrically? ○ the slope of the line segment from (10, 10)) to (40, f(40)) the slope of the tangent line at (40, 40)) O the slope of the tangent line at (15, f(15)) O the slope of the tangent line at (10M10)) Need Help? Read It Talk to a Tutor If the tangent line to y /(x) at (3, 2) passes through the point (0, 1), find r3) and f(3). Need He

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

Section5.4: Combining And Decomposing Functions

Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...

See similar textbooks

Similar questions

The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t)=5t+1.5 , where t is the time in hours. a. Find the composite function N(T(t)) . b. Find the time (round to two decimal places) when the bacteria count reaches 6,752.
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Average Rate of Change Graphs of the functions f,g , and h are shown below. What can you say about the average rate ofchange of each function on the successiveintervals [0,1],[1,2],[2,3],.......?
Let f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval (1,c) is 14
Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R=L/k. For this exercise and the next, we suppose that at time t=0, the forest floor is clear of litter. a. If D is the difference between the limiting value and A, so that D=RA, then D is an exponential function of time. Find the initial value of D in terms of R. b. The yearly decay factor for D is ek. Find a formula for D in term of R and k. Reminder:(ab)c=abc. c. Explain why A=RRekt.