Polynomials/Definitions
Inequalities
Degrees
0's
Transformations
100

Only has one term and contains only positive integers as exponents.

What are monomials.

100

4x+3≤ 23

x≤5

(-infinity, 5)

100

-8x^2+7x-0

2

100

(x^2 -4)(x+7)

+/-2, -7

100

Two parents functions were added to the class this chapter

What are 1/x and 1/(x2)

200

Single term, with an exponent that is not restricted to positive integers.

What are power functions.

200

5x+7<3(x+1)

x<-2 

(-infinity, -2)

200

-9x^3+7x

3

200

x^3−6x^2−x+30

(x+2) is a factor

-2,3,5

200

What does this do to a function?

f(x)+d

Vertical transformation up D units

300

Ratio of 2 polynomials 

What are rational functions.

300

*TRICK

What are the asymptotes of the following function 

(x+2)/[(x+2)(x-1)(x+1)]

What is x= 1, x = -1, y = 0

300

(x-1)^2(x+7)

3

300

f(x)=4x^3−3x−1

1, -1/2

300

Move this function 5 units upwards.

x^3-2x-2

x^3-2x+3

400

Leading term?


9x^7+6x-2

9x^7

400

(x-1)(x+3)^2≤0

x≤1

(-infinity, 1]

400

x^2(x^3)^2

8

400

f(x)=x^4−4x^3−7x^2+22x+24

-2,-1,3,4

400

Move the same function 2 towards the right

x^3-2x-2

(x-2)3-2(x-2)-2

500

End behavior is based off?

The leading term

500

x/7(6/8 + x^2) < 9

x=3.916234

500

7xy^2z^3+8y^5−3x^4+4

6

500

f(x)=3x^3+9x^2+x+3

-3, +/- i(sq. rt 3)/3

500

Using transformations, sketch this graph:

1/x-(7)

Ms. Schmucker will check to see most accurate.