Thank you 1 Determine each of the following whether or no ds

1. Determine, each of the following, whether or no dsens afs) = (1-x\'ya f(x) = (1-2)\" a. b. b, Yes/No. Reasons: Yes/No. Reasons : g(u)=21\'-7 g(u)=2d-7 c, h(t) = t + liftS-1 and h() = tift2-1 d. k(t) =t+lifts-1 and k(t) tift21 e. k(x)-1 if x 0, k(x)-10 ifx=0, k(x)--1 ifx> 0 Yes/No. Reasons : 2. Find the range and domain of each of the follow e re and domain of eahadhe folau y=(x-4)\" Domain = (- a, C-3 Domain- rk)4--4 Domain Domain 3. Let A(r) = the area function a circle (a function Write aformulafor A(r): A= Which of the following represents the area A whose rad Ar+ 0.10) A(0.10r) a. b. A(L.Ir) 4. Sokve by sketching the graph of the llowing sc 4. Solve by sketching the graph of the following set

Solution

1.

a) no. because domain is not R.

b. yes

c)no. at x = -1 function has two values.

d)no. domain is not R

e)yes.

2.

a) Domain is R(All real numbers i.e (-infinity, infinity) becuase function is defined everywhere.

range is also R.

b) Domain [-3,3]. because at other values function is not defined as squareroot becomes negative.

range [0,3].

c)Domain [4,20], Because the inner root gives minimum value of x should be greater than 4 and outer root gives x should be less than 20.

range [0,2]