SOLUTION: Hi! I have to do a math packet over the summer and I'm having difficulty with this one type of problem. I am supposed to determine the domain a range of the equations y = |x| + 5.

Algebra ->  Absolute-value -> SOLUTION: Hi! I have to do a math packet over the summer and I'm having difficulty with this one type of problem. I am supposed to determine the domain a range of the equations y = |x| + 5.       Log On


   

Question 478943: Hi! I have to do a math packet over the summer and I'm having difficulty with this one type of problem. I am supposed to determine the domain a range of the equations y = |x| + 5. i have two other problems that are similar but they have square roots instead of absolute values. I remember learning how to do this during the school year i just cant seem to remember how. Thank you in advance for your help! :D
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
y+=+abs%28x%29%2B5
The domain is the set of all possible values of the independent variable (x) and, here, x can take on any real value so the domain is the set of all real numbers.
The range is the set of all possible values of the dependent variable (y).
Notice that, because you have the absolute value of x, this term can (abs%28x%29) can never be negative so that y can never be less than 5.
The range then is R+%3E=+5