Answer and Step-by-step explanation:
[tex]Greetings![/tex]
[tex]Let's~answer~your~question![/tex]
[tex]To~ get ~the ~average~ rate~ of ~change ~(ARC) ~of ~f(x)~ over~ [x1,~ x2],~ we~ use~ the\\~ formula:[/tex]
[tex]ARC=\frac{ (f(x2) - f(x2)) }{x2-x1}[/tex]
[tex]From ~the ~graph:[/tex]
[tex]f(2) = 4[/tex]
[tex]f(-2) = 4[/tex]
[tex]Plugging~ in~ the~ values ~into~ the ~formula:[/tex]
[tex]ARC=\frac{(4-4)}{(2-(-2)}[/tex]
[tex]ARC=0[/tex]
[tex]The ~points~ connecting~ (-2,4) ~and ~(2,4)~ is ~a~ horizontal ~line~ that~ is~ the~ rate~ of ~\\change ~is ~0.[/tex]
[tex]Hope~this~helps~you![/tex]
[tex]Have~a~blessed~day~ahead![/tex]
~ [tex]Isabelle~Williams[/tex]
