Question

help? when i graphed this the graph turned out really wild, and i dont know how else to solve it


Where are the asymptotes of f(x) = tan(4x − π) from x = 0 to x = pi over 2 ? (1 point)


x = pi over 4 , x = 3 pi over 4
x = 0, x = pi over 4
x = pi over 2 , x = 3 pi over 2
x = 3 pi over 8 , x = 5 pi over 8

Answer 1

asympotes are where the input is equal to \(-\frac{\pi}{2}\) and \(\frac{\pi}{2}\)
solve this by solving \[4x-\pi=-\frac{\pi}{2}\] and \[4x-\pi=\frac{\pi}{2}\]

Answer 2

steps to solve both are the same
a) add \(\pi\) to both sides then
b) divide both sides by \(4\)

Answer 3

here is a nice picture if you need one
http://www.wolframalpha.com/input/?i=tan(4x-pi)+domain+0..pi%2F2

Answer 4

@satellite73 ok so for the first one i got 1.78539.... and .39269..... are these right??

Answer 5

i would leave the answers with pi's in them, since those are your choices

Answer 6

oh ok so how would it be written as a fraction?

Answer 7

lets take it slow

Answer 8

\[4x-\pi=-\frac{\pi}{2}\]solve for \(x\) step one add \(\pi\) ti both sides

Answer 9

\[4x=\pi-\frac{\pi}{2}\] so i guess the question is, what is \(\pi-\frac{\pi}{2}\)
do you know it ? (no is a fine answer, just asking)

Answer 10

i know as a decimal it would be 1.57079.....

Answer 11

i meant as a fraction

Answer 12

here is an easier question, what is \[1-\frac{1}{2}\]

Answer 13

1/2, right?

Answer 14

yes, right

Answer 15

so by the same arithmetic \[\pi-\frac{\pi}{2}=\frac{\pi}{2}\]

Answer 16

hmm now that i look at your answer choices, i am not sure i like any of them, so i wonder what is going on
allow me to solve the first one for you, \[4x-\pi=-\frac{\pi}{2}\] first add \(\pi\) to get \[4x=-\frac{\pi}{2}+\pi=\frac{\pi}{2}\] then divide by \(4\) to get \[x=\frac{\pi}{8}\]

Answer 17

but that is not one of your answer choices, so lets try \[4x-\pi=\frac{\pi}{2}\] add \(\pi\) get \[4x=\frac{\pi}{2}+\pi=\frac{3\pi}{2}\]

Answer 18

divide by \(4\) get \(x=\frac{3\pi}{8}\)

Answer 19

which at least has the benefit of being one of your choices
i wonder what happened to \(\frac{\pi}{8}\)?

Answer 20

would that be the 5pi over 8???

Answer 21

i guess it you solve \[4x-\pi=\frac{3\pi}{2}\] you get it , yes

Answer 22

question has an error in it , don't fret about it, not worth your effort
pick the last one and move on

Answer 23

oh, ok!! thank you for all your help!!! do you think you can also help me with another one im having trouble with?

Answer 24

sure no problem always happy to help a squid

Answer 25

ok!! ill post it as a separate question so i can give you another medal for it

Answer 26

not necessary, i have plenty

Answer 27

but you can if you like