Answer:
i) D: All real numbers
ii) R: [tex]\le0[/tex]
iii) Y-int:(0,0)
Step-by-step explanation:
i) The given absolute value function is;
[tex]y=-2|x|[/tex]
The absolute value function is defined for all real values of x.
The domain is all real numbers
ii) The range is the values of y that will make x defined.
The given function [tex]y=-2|x|[/tex] has vertex at the origin, (0,0) and it is reflected in the x-axis.
This means the function will open downwards.
The maximum y-value is therefore 0.
The range of the function is [tex]\yle0[/tex]
iii) To find the y-intercept, put x=0 into the function to get;
[tex]y=-2|0|[/tex]
[tex]y=-2(0)[/tex]
[tex]y=0[/tex]
The y-intercept is (0,0) or b=0
See attachment for graph.
