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

• 
  `a = -16`

• 
  `b = 11`

• 
  `c = 23`

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`