Answer:
a=-16, b=11, c=23
Step-by-step explanation:
The function that represents the table is
[tex]f(x) = 3x - 1[/tex]
We substitute x=-5 to find the value of a.
[tex]a = f( - 5) = 3( - 5) - 1[/tex]
We evaluate to obtain:
[tex]a = - 15 - 1 = - 16[/tex]
To find the value of b, we substitute x=4,
We get:
[tex]b = f(4) = 3 \times 4 - 1 \\ b = 12 - 1 \\ b = 11[/tex]
To find c, we plug in x=8,
[tex]c = f(8) = 3(8) - 1 \\ c = 24 - 1[/tex]
[tex]c = 23[/tex]