What is the domain and range of #y=abs(x-5)#?

2 Answers

Answer:

Domain: #(-oo, +oo)#
Range: #[0, +oo)#

Explanation:

#x# can take on any real number value (negative , zero, positive).

#y# can only have zero and all positive real numbers. It can not have negative values.

Kindly see the graph of #y=abs(x-5)#

graph{y=abs(x-5)[-20,20,-10,10]}

Feb 10, 2016

Answer:

Domain : Any real Number ; Range : Any positive real number

Explanation:

Here the domain (values of x) is any real number.
And the range (values of y) is any non-negative real number.