Polynomials/Definitions
Only has one term and contains only positive integers as exponents.
What are monomials.
4x+3≤ 23
x≤5
(-infinity, 5)
-8x^2+7x-0
2
(x^2 -4)(x+7)
+/-2, -7
Two parents functions were added to the class this chapter
What are 1/x and 1/(x2)
Single term, with an exponent that is not restricted to positive integers.
What are power functions.
5x+7<3(x+1)
x<-2
(-infinity, -2)
-9x^3+7x
3
x^3−6x^2−x+30
(x+2) is a factor
-2,3,5
What does this do to a function?
f(x)+d
Vertical transformation up D units
Ratio of 2 polynomials
What are rational functions.
*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
(x-1)^2(x+7)
3
f(x)=4x^3−3x−1
1, -1/2
Move this function 5 units upwards.
x^3-2x-2
x^3-2x+3
Leading term?
9x^7+6x-2
9x^7
(x-1)(x+3)^2≤0
x≤1
(-infinity, 1]
x^2(x^3)^2
8
f(x)=x^4−4x^3−7x^2+22x+24
-2,-1,3,4
Move the same function 2 towards the right
x^3-2x-2
(x-2)3-2(x-2)-2
End behavior is based off?
The leading term
x/7(6/8 + x^2) < 9
x=3.916234
7xy^2z^3+8y^5−3x^4+4
6
f(x)=3x^3+9x^2+x+3
-3, +/- i(sq. rt 3)/3
Using transformations, sketch this graph:
1/x-(7)
Ms. Schmucker will check to see most accurate.