1Find the domain and range of the function Enter your answer

1.Find the domain and range of the function. (Enter your answers using interval notation.)

f(x) = 5/ (1+x)

2. Use a calculator to find a number r such that |r ³| < 10⁴

^3. Express the interval [3, 3] in terms of an inequality involving absolute value. (Use the variable x to describe the interval.)

1) f(x) = 5/(1+x)

Domain : denominator vshluld not be zero

ie. x =-1

So, Domain: all real except x=-1 : ( -inf, -1) U (-1 , inf)

Range : f(x) does not exist at x=0

So, ( -inf, 0) U (0, inf)

2) | r - pi/3| < 10^-4

In interval notation

-10^-4 +pi/3 <x < 10^-4 +pi/3

3) interval [3, 3] in terms of an inequality involving absolute value

-3 <= x <= 3

In absoulte form |x|< =3