Question

Assume f is a function whose domain is the interval (-3,3, whose range is the interval (-4,4), and whose graph is the figure below. 4 3 ܝ Let g be given by 8(x) = 2 - (1 - 1). 13pts/(a) Find the domain of g. 13pts/(b) Find the range of g. [4pts/(c) Sketch the graph of g.

Answer 1

Answer = the answer is given below

Ay:- 0 Given fis a function Whose domain is the interval [ + ], whose range is the internal [4,4] and whose graph is given below. g(x)=2 - + f (1-4) Let Now find (a) domain We know that f has domain [ 1 ] so we put r=2 then f (1-2) = f(1-2) =f(1) k >=5 them f(-5) = f(3) g(x) has domain is the interval [2, 5] ang (b) Range We put in ear ② from [25] g(2) = 2-4, f(+3) =2-419-2-2xy = 1 g(3) = 2-4f(-5) == f(0) = 2-X0 = 2 2 = 2(1-7)=8-4F(7) = 27.4 FX) = 3 8(%) = 2-4f(-4)=2-4 f() =2-4X4= g(5)= 2-4 $('$)-2-4f(3) =2=4*0 =2 =) Range [1,3] me -IX 4 = 1 (c) Graph of g : 9(25) = ; g(u) = 2 3+ 2+ 1 o 1 3.5 4 4.5 Scanned with CamScanner