Question

Evaluate the function below for x=2.   F(x)=2x^3-x^2-5x+6

Answer 1

`f(x)=2x^3-x^2-5x+6 \ \ \ \boxed{x=2}\\ \\ f(2)=2*2^3-2^2-5*2+6\\ \\ f(2)=16-4-10+6\\ \\ f(2)=8`

Answer 2

A Function states an equation that has only one answer for y for every x. Also, a function assigns exactly one output to each input of a specified type.

i,e y= f(x) where x represents the input variable and y represents the output value.

Given the function:
`F(x) = 2x^3-x^2-5x+6`

Substitute the given input value of x =2 , we get;

`F(2) = 2(2)^3-(2)^2-5(2)+6`

`F(2) = 2(8)-4-10+6`

or

`F(2) = 16-4-10+6`

Simplify:

`F(2) = 8`

Therefore, the function
`F(x)=2x^3-x^2-5x+6` for x=2, we have F(2) =8.