Question

1. For each of the following functions, (a) describe the domain and range, and (b) sketch
the graph.
a. f(x) ^5sqr(x-4)+2

Answer 1

@jim_thompson5910 can you help me ring the range and domain?

Answer 2

*find

Answer 3

is it \[f(x)=\sqrt[5]{x-4}+2\]?

Answer 4

yes

Answer 5

you can take an odd root (3,5,7,...) of ANY number

Answer 6

i.e. the there are no restrictions on the domain

Answer 7

so the domain would be all real numbers?

Answer 8

yes

Answer 9

how do i find the range?

Answer 10

as x gets larger and larger, so does \(\sqrt[5]{x}\) i.e as \(x\to \infty\) your function goes to infinity as well

Answer 11

and as \(x\to -\infty\) so does your function

Answer 12

that is not really an explanation, though, that is just a fact not sure how to explain it in words

Answer 13

and odd root will have this same property

Answer 14

so for range it would be \[\infty,-\]

Answer 15

all real numbers just like the domain

Answer 16

\[(\infty,-\infty)\]

Answer 17

oh no you don't put the \(-\infty\) on the right! it goes on the left

Answer 18

oh okay