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UNCC / Math / MATH 1120 / How do you find the domain of a polynomial graph?

How do you find the domain of a polynomial graph?

How do you find the domain of a polynomial graph?

Description

School: University of North Carolina - Charlotte
Department: Math
Course: Calculus
Professor: Stuart cooper
Term: Spring 2016
Tags: Math, Calculus, business calculus, Calc, uncc, unc charlotte math, math notes, Calculus notes, notes, exam, calculus exam, math 1120, Week 1 Notes, study, bundle, and math exam
Cost: 25
Name: math 1120 week 1-3 notes
Description: these notes will cover what will be on the first exam.
Uploaded: 01/08/2016
20 Pages 39 Views 1 Unlocks
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11- 1


How do you find the domain of a polynomial graph?



2.3: Functions & Mathematical Models Polynomial Functions: punand function of carcen 10). axta xn't taxta x'ta wroce nisa positive cheer Due ce concos

(coned constrients 4x - 3x2+x+2 (degree of 3) 275_3/2x2+4 (coefficients can be any number


What is a polynomial function of degree?



(x2 - 4) 3 (dearce is 6 3x2 - 4xt to -

35 not a polynomal

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2x31x2 + 4x -

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• Polynomial functions of degree : loco fuoco

SCD= 3-4 If you want to learn more check out What does thermal energy depend on?

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How do you know a function is rational?



• Polynomial Bunctions of degree

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3

-6y +7=0

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(a) What is the cost function?

CO) = 14x + 100,000

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(b) What is the revent function?

RC = P.X = 20x

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(c) What is the profit function? P(x) = R(x) - CEx) = 20

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= 120,000 -100,000 = 20,000 $20,000 Profit

OI=XZ O=01-26

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(oz+x) (01-X 2) = CO2 + x)01-02 + x2 =

1002-01 x Oht zx 2 = 0 Oi-oh of ooh

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Technique for evaluate the limitat infinity of a rational function:

divide numerator and denominator by xn whore nis the degree of the denominator

2.4#78: Find lim =

-100 2.1

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2.1#78: Find lim 2++= m (4x -3x2+D

= lim 4-3 1/2 + 1/4 00 Lt) (2x + x3 + x2+x+1) X3 (2+\/x+'/x+2+x!

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• Evaluate limits using graphs.

• Use alegra to evaluate a limit with the indeterminate form.

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Evalunge limits at infinity using graphs and using algelorat.

HOMEWORK, Section 2.4: 1-13 every other odd, 17, 23-31 every other odd, 49, 53, 57, 59, 63, 65, 73-85 odd

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16=2-2-=(2-x) wn

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(27-09]} = sobrass+2

average webcity betw.

4-2

Zl=hts = (272 +9 =42+

z [hz]

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2.0 The Derivative

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(b) Use the Intermodinte Value Theorem la conclude that the oxygen content of the pond

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SO

01-276o=(01+7) (01+7)

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f(t) is continuous on (0,10) because it is continuous everywhere except x=-10 By N.T, the level must have been so lo at some time between ott

To=t (c) At what time(s) is the oxygen content at the 80% level?

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[42+8=

= 8h+ 2h2

8=6.2= 2(2) = (2) 7

A 48+8=

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(87- (242+48

(24+ 42+42+ h) 2 = (4+2)(4+2)2 =

(472)2 = (4+2)

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(297-(4+2) -

on the interval 2,2+HT

What is the average rate of change for our Wunction () = 2

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b=148 =(5-0)2+8

go=4 [972]

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9=(7) 52 = 269 27Z = (52)

the population F= 0. The graph of a gives the population dolajimlar buncitori culture of time after a portion of Elencide was introduced into the population = 0. 1 Which population is decreasing faster 7 B b. Which population is decreasing fastar 7 A

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C. Which bactericide is more effective in reducing the

population of bacteria in the short run? In the long run? - черя, я е, че

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Notation for the derivatives

-f(x) = 2x2

f'(x) = 4x

0.4=2x2

41 =44

dy = 4x

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xh = 70

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xh= (2+2)

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V SOUD

= 23 - (4t 2) 7

1748=(012+8=42+8

way

What is the instantaneous rite of change for our function f(1) = 21 at I=2?

VO

son of the live traccent to f ct x.

This is the

-(44)

at Six to open op

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u

Instantaneous Rate of Change: Tercho

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ful sec

= 8.002

L= (275-000 25 100 0=4

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Cutzo

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seconds

(*) 7

(44) J

average velocity

1

272 = (7) J

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