by Guest » Mon Dec 02, 2019 2:04 pm
Your function is defined as f(x)= 2x- 3 if x is larger than or equal to -5 and less than or equal to -1 and f(x)= 3x- 5 if x is greater than 1. f(x) is NOT defined for any value of x that is not in the domain: that is not in one of those intervals. You are asked to determine which of the given numbers are in the domain and, if so, to find f(x).
(a) x= -10. -10 is less than -5 so is not in the domain.
(b) x= -2. -2 is between -5 and -1 so f(-2)= 2(-2)- 3.
(c) x= -1. -1 IS in the first interval so f(-1)= 2(-1)- 3.
(d) x= 1/2. 1/2 is not in either interval so f(-1/2)= 2(-1/2)- 3.
(e) x= 1. 1 is NOT in either interval (notice the difference between [tex]\le[/tex] and [tex]<[/tex]).
(f) x= 2. 2 is larger than 1 so is in the second interval so f(2)= 3(2)- 5.