The minimum value is -2.
The absolute or the modulus function |x| is the absolute value of the non-negative value of x for example if x = -2 the output is 2.
As |x| will only return a non-negative value x its range is [0,∞] so its minimum value is 0.
The minimum value of x can tend to -∞ and that of x+3 also will tend to -∞ but then the modulus function will make it positive hence the final value will tend to ∞, so even for this function the minimum value is 0 at x =-3 only.
The give function is |x+3|-2, we know -2 is a constant and |x+3| varies, so if we find the minimum value of |x+3| we will get the minimum value of the function.
As explained above that for a modulus function minimum value is 0, then the minimum value of |x+3| = 0, and hence the minimum value of the function is 0-2 = -2.
Hence the minimum value of the function is y = -2 at x=3.
Learn more about modulus here
https://brainly.com/question/2363440
#SPJ2
