MAT 150 – CLASS #21 Topics: Model and apply data with cubic and quartic functions Solve Polynomial Equations Find factors, zero, x-intercepts, and solutions.

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MAT 150 – CLASS #21 Topics: Model and apply data with cubic and quartic functions Solve Polynomial Equations Find factors, zero, x-intercepts, and solutions Estimate solutions with technology

ACCIDENTAL DEATHS (PG. 440 #24) The table below gives the rate of accidental deaths per 100,000 residents in the United States, as a function of the number of years after Years after 1999 Accidental Deaths Per 100, a.What is the best-fitting cubic model for the data? To put the exact equation in your calculator, we will use the following commands. Stat  Calc: 6)CubicRg  Enter  Vars  Y-Vars: 1Fuction  Y1  Enter b.What is the accidental death rate for 2012, according to this model? c.When can we be certain this model not longer applies? Why?

A box can be formed by cutting a square out of each corner of piece of tin and folding the sides up. Suppose the piece of tin is 32 inches by 20 inches and each side of the square that is cut out has length x. a.Write an expression for the height of the box that is constructed. b.Write an expression for the dimensions of the base of the box that is constructed. c.Find an equation that represents the volume of the box. d.Use the equations that you constructed to find the values of x that make V = 0. e.For what values of x does a box exist? f.What size should the square be to have the maximum volume for the box. VOLUME

COST

SOLVING WITH THE ROOT METHOD

Use the graph of the polynomial function f(x) to: a)Solve f(x) = 0 b)Find the factorization of f(x) c)Write the function without parentheses

CIVILIAN LABOR FORCE (PG.453 #45)

ASSIGNMENT PG #17, 26, 28, 36 PG #25-29 ODD #37, 39, 40, 42, 47, 50