Given the function f(x) = 2x² - 5x + 4, calculate the following values:

f(-2) =
f(-1) =
f(0) =
f(1) =
f(2) =

The values of the function f ( x ) = 2 x 2 − 5 x + 4 are: f ( − 2 ) = 22 , f ( − 1 ) = 11 , f ( 0 ) = 4 , f ( 1 ) = 1 , and f ( 2 ) = 2 . Each value is calculated by substituting the corresponding value of x into the function and simplifying. This quadratic function produces a variety of outputs based on the input values.
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Answered by Anonymous | 2025-07-04

To calculate the values of the function f ( x ) = 2 x 2 − 5 x + 4 at different points, we simply need to substitute each value of x into the function and simplify.

For x = − 2 : f ( − 2 ) = 2 ( − 2 ) 2 − 5 ( − 2 ) + 4 = 2 ( 4 ) + 10 + 4 = 8 + 10 + 4 = 22

For x = − 1 : f ( − 1 ) = 2 ( − 1 ) 2 − 5 ( − 1 ) + 4 = 2 ( 1 ) + 5 + 4 = 2 + 5 + 4 = 11

For x = 0 : f ( 0 ) = 2 ( 0 ) 2 − 5 ( 0 ) + 4 = 0 + 0 + 4 = 4

For x = 1 : f ( 1 ) = 2 ( 1 ) 2 − 5 ( 1 ) + 4 = 2 − 5 + 4 = 1

For x = 2 : f ( 2 ) = 2 ( 2 ) 2 − 5 ( 2 ) + 4 = 2 ( 4 ) − 10 + 4 = 8 − 10 + 4 = 2


So, the calculated values are:

f ( − 2 ) = 22

f ( − 1 ) = 11

f ( 0 ) = 4

f ( 1 ) = 1

f ( 2 ) = 2


These calculations demonstrate how substituting different values into a quadratic function allows us to find specific function outputs.

Answered by DanielJosephParker | 2025-07-06