However, I put together a structured “paper” / study guide that mirrors the key topics, learning objectives, and practice problems you would find in a typical Grade 11 Functions textbook (Ontario curriculum MCR3U).
Key: (b>0, b\neq 1) If (b>1) → growth; if (0<b<1) → decay. functions grade 11 textbook
| Parameter | Effect | |-----------|--------| | (a) | vertical stretch ((|a|>1)) or compression ((0<|a|<1)), reflection in x‑axis if (a<0) | | (k) | horizontal stretch/compression, reflection in y‑axis if (k<0) | | (d) | horizontal shift (right if (d>0)) | | (c) | vertical shift (up if (c>0)) | However, I put together a structured “paper” /
Check: (f^-1(f(x)) = \frac2x-5+52 = x). General form: (f(x) = a\cdot b^k(x-d) + c) General form: (f(x) = a\cdot b^k(x-d) + c)
(y = a\sin(k(x-d)) + c) Amplitude = (|a|), Period = (360^\circ/|k|) (or (2\pi/|k|) rad), Phase shift = (d), Vertical shift = (c)