Question

Someone please help me I don’t have much time!
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.

What are a, b, and c?

Answer 1

Answer:

• $a = -16$

• $b = 11$

• $c = 23$  

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:3x-1$

Finding the value of 'a':

Plugging x = -5 in order to find the value of 'a'

$f\left(x\right)\:=\:3x-1$

$f\left(-5\right)\:=\:3\left(-5\right)-1$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

          $=-3\cdot \:5-1$

$\mathrm{Multiply\:the\:numbers:}\:3\cdot \:5=15$

          $=-15-1$

           $=-16$

Therefore,

• $a = -16$

Finding the value of 'b':

Plugging x = 4 in order to find the value of 'b'

$f\left(x\right)\:=\:3x-1$

$f\left(4\right)\:=\:3\left(4\right)-1$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

        $=3\cdot \:4-1$

        $=12-1$         ∵ $3\cdot \:4=12$

        = 11

Therefore,

• $b = 11$

Finding the value of 'c':

Plugging x = 8 in order to find the value of 'c'

$f\left(x\right)\:=\:3x-1$

$f\left(8\right)\:=\:3\left(8\right)-1$

        $=24-1$        ∵ $3\cdot \:8=24$

        = 23

Therefore,

• $c = 23$