The innaugural AP Precalculus Exam is now complete, and we're here to offer our early attempt at solutions to the four free response questions. Luckily, we knew what questions were coming, since all the AP Precalc FRQs are based on task models that the College Board shared with us throughout this school year. True to their word, the College Board gave us four questions that reflected the four task models:

FRQ 1: Function Concepts

FRQ 2: Modeling a Non-periodic Context

FRQ 3: Modeling a Periodic Context

FRQ 4: Symbolic Manipulations

You can see this year’s AP Precalc questions __here__. Although the official scoring guidelines don’t release until the summer, here’s a first attempt at solutions. (Please be gentle if we have any errors!).

For 2Aii your natural log function G(t) should be 40 + 7.961ln(t+1) not ln(t). I assume this was just a typo (do you call it a typo if it is written?) because you used the function correctly in the next part.

I have two questions. In 1, c, ii) do you think it is sufficient to say that f is not invertible because it is not one-to-one?

And in 4B, you don't actually have to simplify the logarithm that much, right? Like would it be full credit to say log (8x^5*2x^2/x^9) with no further work shown?

I'm getting a different answer for #3 part B, for the constant "c." I got 0, since there is no phase shift (function intersects midline on the y-axis). My function is h(t) = -9 sin (pi (t + 0)) + 9.

https://www.desmos.com/calculator/h5wecttubdedit: I see that c = 2 (and -2) also works with an amplitude of -9 :-)