Functions Grade 11 Textbook Today

Check: (f^-1(f(x)) = \frac2x-5+52 = x). General form: (f(x) = a\cdot b^k(x-d) + c)

(y = 3\cos(2x - \pi) + 1) Rewrite: (y = 3\cos(2(x - \pi/2)) + 1) Amplitude 3, Period (360/2=180^\circ) ((\pi) rad), Phase shift (\pi/2) right, Vertical shift 1 up. 8. Sequences & Series Arithmetic sequence: (t_n = a + (n-1)d) Sum of (n) terms: (S_n = \fracn2(2a + (n-1)d)) functions grade 11 textbook

Key: (b>0, b\neq 1) If (b>1) → growth; if (0<b<1) → decay. Check: (f^-1(f(x)) = \frac2x-5+52 = x)