Answer:
Step-by-step explanation:
Given a set of elements corresponding to the domain, we obtain the range by evaluating the function at each value:
22. [tex]f(x) = x^{2}-3[/tex]
[tex]f(-2) = (-2)^{2}-3[/tex]
[tex]f(-2) = 1[/tex]
[tex]f(0) = 0^{2}-3[/tex]
[tex]f(0) = -3[/tex]
[tex]f(2) = 2^{2}-3[/tex]
[tex]f(2) = 1[/tex]
[tex]f(4) = 4^{2}-3[/tex]
[tex]f(4) = 13[/tex]
The set of ordered pairs associated with the given function is:
[tex]S = \{(x,y)|(-2,1), (0,-3), (2,1), (4,13)\}[/tex]
23. [tex]g(x) = -5\cdot x + 2[/tex]
[tex]g(-4) = -5\cdot (-4)+2[/tex]
[tex]g(-4) = 22[/tex]
[tex]g(-1) = -5\cdot (-1) + 2[/tex]
[tex]g(-1) = 7[/tex]
[tex]g(3) = -5\cdot (3) +2[/tex]
[tex]g(3) = -13[/tex]
The set of ordered pairs associated with the given function is:
[tex]S =\{(x,y)|(-4,22),(-1,7),(3,-13)\}[/tex]
