Answer:
I. D: [tex]x\in R[/tex]
ii. R: [tex]y\le0[/tex]
iii. Y-int: [tex]b=-6[/tex]
Step-by-step explanation:
i) The given absolute value function is
[tex]y=-3|x+2|[/tex]
The domain is all values of x that will make the function defined.
The absolute value function is defined for all real numbers.
The domain is all real numbers.
ii) The range is the values of y for which x is defined.
The given absolute value function is
[tex]y=-3|x+2|[/tex]
This function has the vertex at [tex](-2,0)[/tex] and it is reflected in the x-axis therefore the vertex is the maximum point on the graph.
The y-value of the vertex is the maximum value on the graph.
Hence the range is [tex]y\le0[/tex]
iii) To find the y-intercept, we put x=0, into the function to get;
[tex]y=-3|0+2|[/tex]
[tex]y=-3|2|[/tex]
[tex]y=-3(2)[/tex]
[tex]y=-6[/tex]
The y-intercept is [tex]b=-6[/tex] or (0,-6)
See graph in attachment.
