Question

Find the Asymptotes,Domain, and graph x(x-8)^2/(x+17)^3

Answer 1

some one help please!!

Answer 2

Start with the domain. Do you know how to go about finding *just* the domain of a function like this?

Answer 3

no i dont

Answer 4

i could not figure out how to factor x+17

Answer 5

Domain means "whatever values of x .. DO NOT "break" the function".

what "breaks" a function?

1. zero in the denominator
2. square root of a negative number
3. log of 0 or log of negative numbers

So look at your function you have...

\[\huge \frac{x(x-8)^2}{(x+17)^3}\]

start with 1. What value (or values) of x makes the denominator zero?

Answer 6

-17

Answer 7

right?

Answer 8

Yup.

So the domain is all real numbers EXCEPT 17.

Now onto step 2 and 3. Do you see any square roots or logs?

Answer 9

yes 2 and 3

Answer 10

Wait what... you see square roots and logs?? Where?

Answer 11

oh no sry

Answer 12

hello?