how do you find the domain and range of y=absolute value of x-9

then how would you find it for y=x^3+8 thank you

2 answers

the domain is all real numbers.
the range is all real numbers >= 0

Think of the graph of y=x-9. It is a straight line extending all the way in both directions.

y = |x-9| is the same line, but it does not cross the x-axis when going down, but instead flips back and heads upward again.
i still don understand how do you know y=x-9 is a straight line