SOLUTION: Consider the function f(x)=-x+5 sketch the graph of y=|f(x)| Determine algebraically the x-intercept of the graph of y= |f(x)| State the domain and range of the graph of y=|f(x)

Question 1063492: Consider the function f(x)=-x+5
sketch the graph of y=|f(x)|
Determine algebraically the x-intercept of the graph of y= |f(x)|
State the domain and range of the graph of y=|f(x)|
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
y=|x+5|
This is a "corner" graph, where the smallest value of y is when x=-5, and y=0. From there, as x gets larger positive or more negative, the value of y increases with the slope 1 or -1, respectively.
The domain is all x, for there is not any x where there is no value for y.
The range is y greater than to equal to 0, for it is an absolute value function.
It is shifted 5 units to the left on the x-axis, where y is a minimum.

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