Question

Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the graph.

Answer 1

@SolomonZelman

Answer 2

@mayankdevnani

Answer 3

@Nnesha

Answer 4

x-intercept is a point where line cross x-axis when y=0
so substitute y for 0 to find x-intercept
y-intercept is a point where line cross y-axis when x=0
so substitute x for 0 to find y-intercept

Answer 5

but i dont see any y's so how can i make it a 0?

Answer 6

f(x) is same as y
so it's \[\huge\rm y=x^3-11x^2+36x-36\]

Answer 7

oh ok

Answer 8

so when x=0 y=-36

Answer 9

right?

Answer 10

and for the shape
when the highest degree is odd:
if the leading coefficient is positive `Graph falls to the left and rises to the right`
if the leading coefficient is negative then `graph rises to the left and falls to the right `

Answer 11

right

Answer 12

but how do i solve for y tho? @Nnesha

Answer 13

you already solved for y

Answer 14

not y i meant x

Answer 15

cause its 0=x3 − 11x2 + 36x − 36

Answer 16

factor by grouping and then set it equal to zero

Answer 17

(x - 2) • (x - 3) • (x - 6)

Answer 18

right

Answer 19

you still there

Answer 20

well u can't apply the group method

Answer 21

how did you get that ? calculator ?

Answer 22

ya

Answer 23

hmm alright set them equal to zero then solve for x

Answer 24

its -36

Answer 25

that's y-intercept

Answer 26

(x - 2) • (x - 3) • (x - 6)=0
so x-2 =0 x-3=0 x-6=0 now solve for x

Answer 27

so ad 2 6 and 3?

Answer 28

x=11

Answer 29

don't add

Answer 30

there supposed to be 3 x-intercepts bec highest degree is 3

Answer 31

oh ok

Answer 32

x=3
x=2
x=6

Answer 33

is that it

Answer 34

yes right

Answer 35

ok what is this last part Describe the graph of the function?

Answer 36

nvm we answered that already

Answer 37

thank you for the help

Answer 38

np