Question

Elaboramos una tabla de valores para la función:


f(x) = 2x^2 − 3x + 1

Answer 1

See attachment

Explanation:

English:

We make a table of values for the function:

`f(x) = 2 {x}^(2) - 3x + 1`

Solution

To make a table of values for this function, we substitute some x-values and calculate the corresponding y-values.

Let choose x=-2 to 2.

When x=-2 ,

`f( - 2) = 2 {( - 2)}^(2) - 3( - 2) + 1`

`f( - 2) = 2(4) + 3( 2) + 1 = 15`

When x=-1,

`f( - 1) = 2 {( - 1)}^(2) - 3( - 1) + 1 = 6`

When x=0,

`f( 0) = 2 {( 0)}^(2) - 3( 0) + 1 = 1`

When x=1,

`f( 1) = 2 {( 1)}^(2) - 3( 1) + 1 = 0`

When x=2,

`f( 2) = 2 {( 2)}^(2) - 3( 2) + 1 = 3`

The table is shown in attachment