SOLUTION: I have to find points and make a V shaped graph for the absolute function h(x)=|-2x|. What would the points of the graph be also the domain and range?

Algebra ->  Rational-functions -> SOLUTION: I have to find points and make a V shaped graph for the absolute function h(x)=|-2x|. What would the points of the graph be also the domain and range?      Log On


   

Question 854649: I have to find points and make a V shaped graph for the absolute function h(x)=|-2x|. What would the points of the graph be also the domain and range?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
when x = 0, h(x) = 0
when x = 1, h(x) = 2
when x = -1, h(x) = 2
when x = 2, h(x) = 4
when x = -2, h(x) = 4

h(x) will always be positive.
the v shaped graph has a minimum point at x = 0.
the points on the graph are that y will always be equal to |2 * x|.
whether the expression within the absolute value signs was -2x or 2x is irrelevant.
the result will always be positive.
the domain is all real values of x.
the range is all real values of x >= 0.
the graph of |-2x| is shown below:
graph%28600%2C600%2C-5%2C5%2C-10%2C10%2Cabs%28-2x%29%29
the graph of |2x| is shown below:
graph%28600%2C600%2C-5%2C5%2C-10%2C10%2Cabs%282x%29%29
as you can see, both graph are identical.