Respuesta :

Answer:

x     f(x)

1       1

0     -1

-1     -3

2      3

Step-by-step explanation:

∵ The given function is f(x) = 2x - 1

∵ The table has the values of x

→ Substitute the values of x in the function to find the values of f(x)

∵ x = 1

→ Replace every x in the function by 1

∴ f(1) = 2(1) - 1

∴ f(1) = 2 - 1

f(1) = 1

∵ x = 0

→ Replace every x in the function by 0

∴ f(0) = 2(0) - 1

∴ f(0) = 0 - 1

f(0) = -1

∵ x = -1

→ Replace every x in the function by -1

∴ f(-1) = 2(-1) - 1

∴ f(-1) = -2 - 1

f(-1) = -3

∵ x = 2

→ Replace every x in the function by 1

∴ f(2) = 2(2) - 1

∴ f(2) = 4 - 1

f(2) = 3

The missing values in the table are 1, -1, -3, 3

x      f(x)

1       1

0     -1

-1     -3

2      3

The four needed values for right column of table are: 1, -1, -3, 3

The completed table will look like:

[tex]\begin{center}\begin{tabular}{ c c } x & f(x)\\ 1& 1 \\ 0 & -1\\-1 & -3\\ 2& 3\end{tabular}\end{center}[/tex]

Given function is:

f(x) = 2x - 1

Cases:

1. x = 1

  f(1) = 2 - 1 = 1

2. x = 0

   f(0) = 0 - 1 = -1

3. x = -1

   f(-1) = -2 - 1 = -3

4. x = 2

   f(2) = 4 - 1 = 3

Thus the four needed values for right column of table are: 1, -1, -3, 3

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