<p>This is my first post on the forum so, if this is in the wrong place, please feel free to change its location. I am trying to find practice problems for graphing the reciprocals of absolute value functions (it's an advanced Algebra-II type of problem.) Basically, I need to practice graphing a function that has more than one vertical asymptote. An example might be: Graph the following function: 1/(absolute value of 8)-4. I understand how to do the problem, but I haven't been able to find practice problems anywhere. </p>
<p>I am homeschooled so if you could direct me to a free website that has this type of problem, that would be great (I don't have a teacher I can ask.) Thank you so much for any help you can give me. </p>
<p>I’m a little confused as to the types of questions you want…are you looking for something like:
…1…(because those have two asymptotes)
x^2-4
or
…1…(which unless I’ve forgotten all of Algebra II, has one **vertical ** asymptote, but two total)
|x+3|
because 1/(|8|-4) = 1/4 -> horizontal line, no asymptotes…
(sorry for weird dots (they delete blank spaces))</p>
<p>Please let me know if you’re looking for something else (if you can post a link to a picture of a question of the type you’re looking for I can look for it). Good luck, and I hope this helps!</p>
<p>Thank you so much for your reply. I noticed didn’t put the example question in correctly–sorry about that! That may have been why you were confused. I meant: 1/|x-8|-4. That way, if you put in 4 for x, there would be an asymptote there, and then if you put in 12, there would be an asymptote for that x-value as well. Now that I’ve figured out what I’m looking for, do you know any resources for that type of problem?</p>
<p>he second link you sent was helpful, TI would like practice problems with answers available if that’s possible, since my mom is grading but doesn’t know how to do the actual problems. So I can’t really just put 1 over whatever absolute value function I can find, since the graphs would be very different . . . I know this is a little strange. Again, thanks so much for your help. </p>
<p>Oh, that makes more sense. Yes, I know what you mean…have you tried looking in algebra 2 or precalc books? I actually think it’s covered in precalc, but I"m not very sure because I didn’t cover either formally.</p>
<p>I’m afraid I don’t know sites that have answers (aside from Kuta Math, which didn’t have these), but you could try online graphing calculator sites:
**Wolfram|Alpha<a href=“wolframalpha.com”>/b</a> accepts almost all forms of answers, so you could type “graph 1/(|x-8|-4)” or just “1/(|x-8|-4)” or basically anything, and they’ll figure it out.
**FooPlot<a href=“fooplot.com”>/b</a> takes abs() for absolute value, so type in “1/(abs(x-8)-4)”.
Both should let you adjust the range (fooplot has zoom, wolframalpha you’ll have to type “graph ___ from __ to __” I think. It should be an easy way for you / your mom to check that you’ve done it right.</p>
<p>Oh, that makes more sense. Yes, I know what you mean…have you tried looking in algebra 2 or precalc books? I actually think it’s covered in precalc, but I"m not very sure because I didn’t cover either formally.</p>
<p>I’m afraid I don’t know sites that have answers (aside from Kuta Math, which didn’t have these), but you could try online graphing calculator sites:
**Wolfram|Alpha<a href=“wolframalpha.com”>/b</a> accepts almost all forms of answers, so you could type “graph 1/(|x-8|-4)” or just “1/(|x-8|-4)” or basically anything, and they’ll figure it out.
**FooPlot<a href=“fooplot.com”>/b</a> takes abs() for absolute value, so type in “1/(abs(x-8)-4)”.
Both should let you adjust the range (fooplot has zoom, wolframalpha you’ll have to type “graph ___ from __ to __” I think. It should be an easy way for you / your mom to check that you’ve done it right.</p>
<p>I think that those graphing calculator sites you linked should be perfect for this. Thank you so much! I’ll let you know if I have any problems with them. </p>
<p>You’re welcome! If you ever have more questions for me, feel free to post again or PM me. If you put @Andr01d in part of your post, I’ll get a notification and can answer you faster. Good luck!</p>