Unit 5: Polynomial Functions Homework 3: Zeros and Multiplicity nd the effect of the multiplicity on the graph. 2. f(x)=-2x(3x+1)2(x+7)' Zero Multiplicity Effect 4. f(x)=3x³-21x²-54x tions

Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x

Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section and then graph it using transformations. Which method do you prefer? Why

Social Security Assets The table gives actual and projected year end assets in Social Security trust funds, in trillions of current dollars, where Year represents the number of years since 2000. Source: Social Security Administration. The polynomial function defined by f(t)=0.0000329t30.00450t2+0.0613t+2.34 models the data quite well. a. To verify the fit of the model, find f(10),f(20), and f(30). b. Use a graphing calculator with a command such as nDeriv to find the slope of the tangent line to the graph of f at the following t-values: 0,10,20,30, and 35. c. Use your results in part b to describe the graph of f and interpret the corresponding changes in Social Security assets. YearTrillionsofDollars102.45202.34301.03400.57501.86