SOLUTION: Answers should be clear, complete, and have proper form. State the domain and range of the following: a) f(x)=-2(x+3)2+5 b) f(x)=3x-4

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Answers should be clear, complete, and have proper form. State the domain and range of the following: a) f(x)=-2(x+3)2+5 b) f(x)=3x-4       Log On


   

Question 1198751: Answers should be clear, complete, and have proper form.
State the domain and range of the following:
a) f(x)=-2(x+3)2+5
b) f(x)=3x-4

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  The domain is the set of all real numbers (the entire number line).


     The range is the set of all real numbers less than or equal to 5.

         Explanation.  It is because the function subtracts positive (non-negative) numbers from 5.




(b)  The domain is the set of all real numbers (the entire number line).


     The range is the set of all real numbers, too.

Solved and answered, in full.