Question

Please draw a graph for each function and contain units, and any asymptotes and intercepts must be clearly labeled

1. A one-to-one function F(x) with domain ?−π, π?, range [1,2] and such that F ?−π? = 1
2. A function s(x) that is obtained first by vertically stretching y = sin(2πx) by a factor of a (a is a positive integer greater than 1) and then by horizontally shifting by 1 unit to the right.
3. A one-to-one function Q(x) with domain (−∞, ∞), range (3, 4) and at least one horizontal asymptote.
4. A rational function r(x) with two distinct x-intercepts, two distinct vertical asymptotes, and withthefollowingendbehavior: r(x)→2asx→∞andr(x)→0asx→−∞

Answer 1

moto F(x) one to one (@) is increasing strictly given. strictly increasing strictly decreasing ( f (x) 7,1 &n) But FEU = 2 intercept can be anything in (162) TV sin(21) f(x) = Stretch by a fo a. sin(202) 1 unit to the right fons afoutis) assin (2010-)) a sin (2x) shifting mu (©) 3 (d)