Question

The table represents the function f (x) = 3x-1

x, f(x)
-5, a
-2, -7
4, b
8, c
Use the drop-downs to choose the values of a, b, and, c to complete the table

Answer 1

a=-16, b=11, c=23

Explanation:

The function whose table is drawn is

`f(x) = 3x - 1`

To find the value of a, we substitute x=-5.

`f( - 5) = 3( - 5) - 1 \\ f( - 5) = - 15 - 1 \\ f( - 5) = - 16`

`\therefore \: a = - 16`

To find the value of b, we substitute x=4.

`f(4) =3(4) - 1 \\ f(4) = 12 - 1 \\ f(4) = 11`

To find the value of c, we substitute x=8,

`f(8) = 3(8) - 1 \\ f(8) = 24 - 1 \\ f(8) = 23`

`c = 23`