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

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

elenathehomeschooler · Answer

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

elenathehomeschooler · Answer

*find

anonymous · Answer

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

elenathehomeschooler · Answer

yes

anonymous · Answer

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

anonymous · Answer

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

elenathehomeschooler · Answer

so the domain would be all real numbers?

anonymous · Answer

yes

elenathehomeschooler · Answer

how do i find the range?

anonymous · Answer

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

anonymous · Answer

and as $x\to -\infty$ so does your function

anonymous · Answer

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

anonymous · Answer

and odd root will have this same property

elenathehomeschooler · Answer

so for range it would be $$\infty,-$$

anonymous · Answer

all real numbers just like the domain

elenathehomeschooler · Answer

$$(\infty,-\infty)$$

anonymous · Answer

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

elenathehomeschooler · Answer

oh okay