1. The number of children (in thousands) receiving Social Security benefits for each year from 1988 to 1995 can be modeled using the polynomial N(t) = -3.7475t³ + 50.9437t² - 97.3413t+3207.6818 where t is time in years since 1988. a. Graph this function on the domain [0, 20]. b. What is the value of the y-intercept, and what does this tell you in practical terms? c. How many children on Social Security does this model predict for the year 1990? (3,186,000 children is the actual number for that year). d. Is there a point at which this model stops being useful? In other words, what is a reasonable, practical domain for this function? (There are many possible answers.) Explain your answer.

1. The number of children (in thousands) receiving Social Security benefits for each year from 1988 to 1995 can be modeled using the polynomial N(t) = -3.7475t³ + 50.9437t² - 97.3413t+3207.6818 where t is time in years since 1988. a. Graph this function on the domain [0, 20]. b. What is the value of the y-intercept, and what does this tell you in practical terms? c. How many children on Social Security does this model predict for the year 1990? (3,186,000 children is the actual number for that year). d. Is there a point at which this model stops being useful? In other words, what is a reasonable, practical domain for this function? (There are many possible answers.) Explain your answer.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 49E

See similar textbooks

Similar questions

Write the quadratic function in f(x)=a(xh)2+k form whose graph is shown.
(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.
Determine the and behavior of the polynomial function. f(x)=8x33x2+2x4
Given the following information about a polynomial function, find the function. It has a double zero at x=3 and zeroes at x=1 and x=2 It’s y-intercept is (0,12).
Find the vertex of the graph of the quadratic function f(x)=2(x+5)24.