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Mathematics 22 Online
kaylak:

https://s1.postimg.org/8hglzf8ldb/Capture.png

Vocaloid:

let's start with x-intercepts please where does the graph touch the x-axis?

kaylak:

0 and 4

Vocaloid:

awesome what about y-intercepts?

kaylak:

0,0 0,4

kaylak:

for x

Vocaloid:

good, what about y?

kaylak:

0,0

Vocaloid:

good, so what's the answer?

kaylak:

c yay i'm learning something

Vocaloid:

good, c

Vocaloid:

at x = 3, what does the graph equal?

kaylak:

6

Vocaloid:

good, so a is the correct answer

Vocaloid:

hint: what x-value has a "gap" or "jump" in the graph?

kaylak:

removable at -4 cause of the hole

Vocaloid:

close but not quite it's not removable because there's no way to "plug" the hole by re-writing the function

Vocaloid:

it's a jump discontinuity

kaylak:

it's jump i see the jump now

Vocaloid:

|dw:1507654586101:dw|

Vocaloid:

^removable looks more like that

Vocaloid:

hint: is it symmetric about the y-axis?

kaylak:

is this one neither it's not symmetrical at all

Vocaloid:

good, neither

kaylak:

a?

Vocaloid:

the left side has an asymptote (graph isn't drawn well) but the right side doesn't

Vocaloid:

as x ---> infinity is the graph approaching + infinity or -infinity?

kaylak:

it's c then

Vocaloid:

nope

Vocaloid:

please answer my question

Vocaloid:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid as x ---> infinity is the graph approaching + infinity or -infinity? \(\color{#0cbb34}{\text{End of Quote}}\)

kaylak:

aren;t both approaching infinity

Vocaloid:

again, please consider my question

kaylak:

positive?

kaylak:

I'm confused

Vocaloid:

ok, the draw tool isn't working for me so let me try something else

Vocaloid:

notice how the graph on the right hand side is pointing to negative values as x goes to infinity?

kaylak:

yes so that is x

Vocaloid:

so does the graph go towards +infinity or -infinity as x ---> infinity?

kaylak:

- infinity

Vocaloid:

good

Vocaloid:

now let's consider the left side there is an asymptote at y = -1 so as x ----> -infinity, the graph approaches -1

Vocaloid:

so which answer choice matches?

kaylak:

so it's d

Vocaloid:

yes good

kaylak:

promise almost done

Vocaloid:

easiest way would just be to graph it

Vocaloid:

http://www.wolframalpha.com/ plug in y = x^(1/5)

Vocaloid:

just look at the real part (not the imaginary part)

kaylak:

the function is odd

Vocaloid:

hm

Vocaloid:

what about the domain/range?

kaylak:

mathway said it's odd

kaylak:

f(x)5 square x is odd look at graph

kaylak:

continuous

kaylak:

- infinity positive infintity for both

kaylak:

@Vocaloid

kaylak:

i'm confused mathway must be wrong

Vocaloid:

this software isn't very good

Vocaloid:

it gives me different answers for x^0.2 and x^(1/5) even though they should be the same

kaylak:

did you plug in f(x)=5 square root x

Vocaloid:

it's not 5 square root x

Vocaloid:

it's x to the fifth root

Vocaloid:

anyway I think you're right for the domain and range

kaylak:

oh there's a difference

Vocaloid:

so the domain and range are both -infinity to +infinity it's odd what about intervals of increase/decrease?

kaylak:

so is it neither

Vocaloid:

neither what?

Vocaloid:

it should be odd, I made a mistake earlier

Vocaloid:

gtg

kaylak:

wait now you have really confused me

kaylak:

0, infinity increasing -infinity, 0 decreasing

kaylak:

ni/o asymptotes

kaylak:

discontinuous

kaylak:

@Vocaloid end behavior?

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