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

Respuesta :

Answer:

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

Step-by-step explanation:

The values in the table must satisfy the equation:

[tex]f(x) = 3x - 1[/tex]

[tex]a = f( - 5) = 3( - 5) - 1 = - 16[/tex]

Also,

[tex]b = f(4) \\ b = 3(4) - 1 \\ b = 12 - 1 \\ b = 11[/tex]

Lastly,

[tex]c = f(8) \\ c = 3(8) - 1 \\ c = 24 - 1 \\ c = 23[/tex]

In this question, we need to determined the value of a, b and c.Thus, the value of a = -16, b = 11 and c= 23.

Given:

Function f(x) = 3 x - 1

x:      -5,    -2,    4,    8

f(x):    a,   -7,    b,     c

According to the question,

We have to find the values in the table must satisfy the equation:

It is given that function f(x) = 3 x - 1

Now, find the value of a,

a = f (-5) = 3(-5) -1 = -16

Now, find the value of b,

b = f (4) = 3(4) -1 = 11

Now, find the value of c,

c = f (8) = 3(8) -1 = 23

Thus, the value of a = -16, b = 11 and c= 23.

For more details, prefer this link:

https://brainly.com/question/5060374

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