The question is obviously flawed. A function only has an inverse if the inverse is a function. If they did not restrict the domain, then there technically is no inverse. I feel very strongly that they should accept all of the following answers: sqrt(x+6), -sqrt(x+6), plus or minus sqrt(x+6), and no inverse.
I will be calling today.
Dave Ryley Beacon HS ________________________________ From: email@example.com [firstname.lastname@example.org] On Behalf Of k_wolpert [email@example.com] Sent: Tuesday, June 21, 2011 6:48 PM To: firstname.lastname@example.org Subject: RE: Alg2Trig exam
I called the state on #32 this afternoon and they said that I was the only one to complain. We strongly believe it is a flawed question (and answer). Please call-in tomorrow if you feel the same way my department and I feel. The number is 518-474-5900. I cannot imagine taking any credit off for a student who successfully argues that there is no inverse function of f(x)= x^2-6.
Kevin Wolpert Mathematics Department Head Saratoga Springs High School (518) 587-6690 ext. 3318 ________________________________ From: email@example.com [firstname.lastname@example.org] on behalf of Meg Clemens [email@example.com] Sent: Tuesday, June 21, 2011 6:13 PM To: firstname.lastname@example.org Subject: RE: Alg2Trig exam
The key states + or ? (as a symbol) sqrt(x + 6). Just stating the positive sqrt only is a 1 point deduction on a 2 pt problem.
From: email@example.com [mailto:firstname.lastname@example.org] On Behalf Of Jonathan Sent: Tuesday, June 21, 2011 5:58 PM To: email@example.com Subject: Re: Alg2Trig exam
I already alerted our principal that there is a major problem with 32. I have not yet seen the key. What were they looking for? "There is no inverse function"? or instructions to restrict the domain and THEN take the inverse? Hardly likely for a 2-pointer.
I have no confidence in the ability of NYSED to produce a good examination in mathematics.
Jonathan Halabi HS of American Studies the Bronx On Tue, Jun 21, 2011 at 5:49 PM, Harry Witkin <HWitkin@lbeach.org<mailto:HWitkin@lbeach.org>> wrote: I strongly agree with Meg's comment about #32; the answer must be a function!
Harry Witkin Long Beach Schools
________________________________ Notice to Recipient: This electronic message and any attachments may contain confidential or privileged information, and is intended only for the individual or entity identified above as the addressee. If you are not the addressee, or the employee or agent responsible to deliver it to the addressee, or if this message has been addressed to you in error, you are hereby notified that you may not copy, forward, disclose or use any part of this message or any attachments. Please notify the sender immediately by return email or telephone and delete this message from your system. In addition, the recipient of this email is responsible for checking every incoming email for viruses. The sender of this email will not be held liable for any transmitted viruses. ________________________________ From: firstname.lastname@example.org<mailto:email@example.com> on behalf of Meg Clemens Sent: Tue 6/21/2011 5:34 PM To: firstname.lastname@example.org<mailto:email@example.com> Subject: Alg2Trig exam Why doesn?t State Ed have extended hours to answer questions during the regents period? Perhaps you would like to add your two cents to the following:
#16) 2 correct answers to a question! This is confusing for the students. How do you answer a student during the test who asks how to choose the right answer since both answers are equivalent? ?Use your best judgment? doesn?t seem appropriate.
#19) I know #3 is the least wrong but I think y = cos^-1 (x) implies a function and graph #3 does not have a restricted range.
#30) I?d like to give full credit to an equation with either y = x^2 ? 6x ? 27 or 0 = x^2 ? 6x ? 27.
>From NYS Glossary for A2T:
?root of an equation (A) (A2T) A solution to an equation of the form f(x) = 0.
Example: A root of the equation y = 6x ? 18 is 3 because when 3 is substituted in for x, the value of y = 0.
Example: The roots of [cid:image001.png@01CC303E.E04A8EF0] are [cid:image002.png@01CC303E.E04A8EF0] and[cid:image003.png@01CC303E.E04A8EF0]. The equation is true if we substitute either [cid:image002.png@01CC303E.E04A8EF0] or [cid:image003.png@01CC303E.E04A8EF0] into the equation.? #32) Doesn?t using f^-1(x) imply that answer should be a function? I think stating just one branch of the inverse of the parabola should be accepted. Really, there should be a stated domain restriction so it is clear which branch to choose.