For a polyonomial
P(x)=ax^n+bx^(n-1)...zx^0
when n is odd, the endpoints of the graph point in oposite directions
when n is even, the endpoints of the graph point in same direction
a is the leading term
when a is positive and:
1. n is odd, the graph goes from bottom left to top right
2. n is even, the graph goes from top left to top right
when a is negative and:
1. n is odd, the graph goes from top left to bottom right
2. n is even, the graph goes from bottom left to bottom right
xintercept is where the line crosses the x axis or when y=0
yintercept is where the line crosses the y axis or when x=0
f(x)=1x^3-11x^2+36x-36
leading term is positive and odd degree
graph goes from bottom left to top right, has 1 inflection point
yint, sub 0 for all x's
f(0)=0^3-11(0)^2+36(0)-36
yintercept is y=-36 or (0,-36)
xintercept
set function equal to zero
0=x^3-11x^2+36x-36
factor
0=(x-2)(x-3)(x-6)
x=2,3,6
xintercepts are at x=2,3,6 or (2,0), (3,0) and (6,0)
30000 the challenges of a few days and regions I don't know if about the youth and what his. can you help me with my question
Answer:
-1/6 + 8
Step-by-step explanation:
(1/2x + 2) - (2/3x - 6)
apply distributive property
1/2x + 2 - 2/3x + 6
add like terms. add 1/2x and -2/3x together and then add 2 and 6 together
3/6 + 2 - 4/6 + 6
-1/6 + 8
-1/6 + 8 is your answer. i hope this helps, let me know if i got something wrong :)
Answer:
he raped chickens back in th 12s
Step-by-step explanation:
Step-by-step explanation:
2×9n=18n
2×-6=-12
52-12+18n= 38 +18n
2×7n=14n
8×2=16
14n+16
38+18n=14n+16
subtract 14n from 14n and 18n
38+4n=16
subtract 38 from 38 and 16
4n=-22
divide each side by 4
n= -5.5