MATH 203 Lecture Notes - Lecture 2: Classification Of Discontinuities, Asymptote, Inverse Trigonometric Functions

• School: Concordia University
• Department: Mathematics
• Course: MATH 203
• Professor: All

Document Summary

Class 2_203: f (x) = p2x (cid:0) x2 ! g (x) = q2 (x (cid:0) 5) (cid:0) (x (cid:0) 5)2 ! h (x) = 2 + q2 (x (cid:0) 5) (cid:0) (x (cid:0) 5)2 y=h(x) 7 x: di erent functions: (a) polynomials p3 (x) = 3x3 (cid:0) 4x2 + 5, generally. 5xn=0 anxn = a5x5 + a4x4 + a3x3 + a2x2 + a1x + a0 the domain dp = ((cid:0)1;1) (b) rational functions r (x) = The domain dr = x + 5 x2 (cid:0) 4. 8xn=0 anxn bnxn (c) exponential functions f (x) = 10p2x = 2x=10; generally f (x) = ax. 40 x (d) logarithmic functions f (x) = 2x the x = log2 y ! therefore 2x = 1:5 ! x = log2 1:5 (cid:25) 0:584 96. Then: g (x) = f (cid:0)1 (x) = log2 x y=f(x) y. 4 x (e) trigonometric functions sin x; cos x; tan x; cot x; sec x; csc x y.