Step-by-step explanation:
The given absolute value expression is
[tex]f(x) = |x + 3| - 1[/tex]
This absolute value function is of the form
[tex]f(x) = |x + h| + k[/tex]
where (h,k)=(-3,-1) is the vertex.
This function opens upwards, hence the the minimum point is (-3,-1)
The domain is the values of x for which the function is defined.
The domain is all real numbers.
The range is the values of y for which x is defined.
The is y≥-1 because the minimum value is -1.
The graph is shown in attachment.
