SAT Subject Test January 2009: Math Level 2

<p>the answer to the inverse question is y=x. Also, I was confused about the question with the imaginary numbers and the polynomial. Does anyone know the answer. I think the answer to the last question was 5.</p>

<p>for the polynomial factor i said 2-3i as well...</p>

<p>I'm not sure the answer for the inverse question was y=x. cuz if the inverse of f(x) is the same as f(x), arent they both f(x) = x? Because then it doesn't make sense that you say they're symmetrical across the y=x line. I said they're symmetrical across the origin...?</p>

<p>how about the f(x)=|tan2x|?? How the **** are you supposed to find the period? it didnt look like there was a period on the graphing calculator.. it was definitely even symmetry, but there wasn't a set period..... If it was just tan 2x it would be easy (pi/2), but this one made no sense whatsoever. I left it blank</p>

<p>f(x)=|tan2x|
i wrote pi/2</p>

<p>don't know if i am right</p>

<p>yea thats what i was going to say to, but i looked at it on the graphing calc and it looked weird. ill try and get a pic</p>

<p>gotta use ztrig</p>

<p>You can't have anything symmetrical over the origin, it's a point. It has to be y=x, I remember seeing this question in a review book.</p>

<p>Also, the correct answer for the period is pi/2. The absolute value does nothing to period, it only makes the negative y values positive.</p>

<p>how about the triangle rotated about the y-axis. I think I remember getting 18 something. Also, for the question with the set {1,5,10,100}, and it asked for the randomly selected numbers and their sums, I got .5 for the answer</p>

<p>I thought it was OK, I didn't omit any and I didn't really have trouble with any except that natural log one, finally got it with like 30 seconds left x_x for the last one it was like, this huge number 123,ABC,343,992 <-- not actual number, yea then it said like it was the product of multiples of 3? I just added the digits together, got 22, and since the sum of the digits has to be a multiple of 3 A + B + C had to be 5. That's what I put anyway.</p>

<p>yea, for the absolute value of tan 2x, im pretty sure it was pi/2. i mean, if youre taking the absolute value, all you're doing is flipping all the negative stuff on top. if each negative part of tan 2x flipped across the x axis yields a portion of the graph that looks IDENTICAL to the positive part, well and good- that means the period is pi/4, since it repeats half the time of the regular tan 2x. but that's not the case- so the answer is...</p>

<p>for the last one, if im not mistaken, you're multiplying consecutive multiples of three. so just look at the first and second numbers you're multiplying (as opposed to all 6). by then, you would have multiplied two multiples of 3, yielding a multiple of 9. forget all the other four factors. you're final product is a multiple of 9. if the sum of the digits has to add up to a multiple of 9....looking at the answer choices...i got what alluric got. but the issue with the reasoning that it has to be a multiple of 3 is that there was another option 8- that gives 30- but its wrong.</p>

<p>i think the inverse question's answer was y = x. they're telling you that a function and its inverse are identical- i.e. they're the same thing. so that means the function is its own inverse. so if the inverse of a function is found by reflecting over y = x, and the function is its own inverse, then finding the function boils down to reflecting the function over y = x....</p>

<p>2-3i is just a complex conjugate rule.</p>

<p>i got .5 also. i think all the hundred combos over 4C2.</p>

<p>for the triangle over the x-axis, i can't remember what i got, but im pretty sure it's not 18 (i think)- how did you get rid of the pi when you're finding the volume? i got a weird number.</p>

<p>but without a doubt, this was pretty challenging. i hope we all did pretty well.</p>

<p>first, whats ztrig? </p>

<p>second, it said symmetric about the origin, which means y=x and -y=-x, which it would...</p>

<p>how can you say 2 graphs are symmetrical across the y=x line if both the graphs ARE the y=x line???</p>

<p>i think the tanx one is pi/2!!! i looked at the graph and it was at pi/2 and then repeated when it is 2pi, so there is a difference of pi/2 and I picked pi/2(hopefully i picked the right one, cant remember if i put pi or pi/2)</p>

<p>Yeah, definitely pi/2. Tan(x) has a period of pi. Tan(2x) just squashes it by a factor of two. Last question, the answer was 5. Not too bad, just a minute of guess and check.</p>

<p>The symmetry problem was kind of weird. See, the line y=x is symmetric about the line y=x, the origin, and the line y=-x. So i tried to think of another example, which would be a titled parabola with the line of symmetry y=x. That would have symmetry over y=x only, EXCEPT, it wouldn't be a function cause it wouldn't pass the vertical line test. Soo..meh. I put y=x anyway.</p>

<p>but if you put the equation on your graphing calculator there is no apparent period</p>

<p>Oh, what was the answer to the 3,4,root(37 triangle, where you had to find theta which was between 3 and 4?</p>

<p>Alluric was that the one where you had to find sin theta? i got 0.866, not completely sure if it's right though</p>

<p>zoom-ztrig</p>

<p>100: Yea that's the one, and I got that too so I hope you're right :D</p>

<p>EDIT: Also, quick question, what is generally the curve for an 800? How many can you miss for an 800? (if any)</p>

<p>I think the answer to the last question is 7. I used the calculator lists and got 4,205,something,040. I wish had done it during the test and not after though :( what about the one that asked for the maximum lines that cannot intersect the whatever? I got 2.</p>

<p>Bluewatermelon, i didnt use that i just had my window set from -10 to 10.</p>

<p>but it still looked like nothing :(</p>

<p>yea hipster, i got that too.
i dont think the last answer was 7- hopefully...haha.
i got what alluric got for that trig one.
what did you think of the parametric one?</p>