5. +-4 points LarCAABL52 2.5.018. 0/6 Submissions Used My Notes Ask Your Teacher Describe the increasing, decreasing, and constant behavior of the function. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing constant Find the point where the behavior of the function changes. Need Help?Read It

5. +-4 points LarCAABL52 2.5.018. 0/6 Submissions Used My Notes Ask Your Teacher Describe the increasing, decreasing, and constant behavior of the function. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing constant Find the point where the behavior of the function changes. Need Help?Read It

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 51RE

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Swimming Laps Miyuki practices swimming laps with her team. The function y=f(t) graphed below gives her distance in meters from the starting edge of the pool t seconds after she starts her laps. Describe in words Miyukis swim practice. What is her average speed for the first 30 s? Graph the function y=1.2f(t). How is the graph of the new function related to the graph of the original function? What is Miyukis new average speed for the first 30 s?
A store offers customers a 30% discount on the price x of selected items. Then, the store takes off an additional 15% at the cash register. Write a price function P(x) that computes the final price of the item in terms of the original price x. (Hint: Use function composition to find your answer.)
Swimming Laps Miyuki practices swimming laps with her team. The function y=f(t) graphed below gives her distance (in meters) from the starting edge of the pool t second after she starts her laps. (a) Describe in words Miyuki’s swim practice. What is her average speed for the first 30 s? (b) Graph the function y=1.2(t) .How is the graph of the new function related to the graph of the original function? (c) What is Miyuki’s new average speed for the first 30s?
Arboriculture The growth of a red oak tree is approximated by the function G=0.003t3+0.137t2+0.458t0.839,2t34 where G is the height of the tree (in feet) and t is its age (in years). (a) Use a graphing utility to graph the function. (b) Estimate the age of the tree when it is growing most rapidly. This point is called the point of diminishing returns because the increase in size will be less with each additional year. (c) Using calculus, the point of diminishing returns can be found by finding the vertex of the parabola y=0.009t2+0.274t+0.458. Find the vertex of this parabola. (d) Compare your results from parts (b) and (c).