Answer:
a=-16, b=11, c=23
Step-by-step explanation:
The function whose table is drawn is
[tex]f(x) = 3x - 1[/tex]
To find the value of a, we substitute x=-5.
[tex]f( - 5) = 3( - 5) - 1 \\ f( - 5) = - 15 - 1 \\ f( - 5) = - 16[/tex]
[tex] \therefore \: a = - 16[/tex]
To find the value of b, we substitute x=4.
[tex]f(4) =3(4) - 1 \\ f(4) = 12 - 1 \\ f(4) = 11[/tex]
To find the value of c, we substitute x=8,
[tex]f(8) = 3(8) - 1 \\ f(8) = 24 - 1 \\ f(8) = 23[/tex]
[tex]c = 23[/tex]